There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Factors. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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### Factors Starters:

Abundant Buses: A game based around the concept of factors and abundant numbers.

Factuples: Spot the factors and the multiples amongst the numbers in the grid.

Flabbergasted: If each number in a sequence must be a factor or multiple of the previous number what is the longest sequence that can be made from the given numbers?

Four Factors: Find four single digit numbers that multiply together to give 120. How many different ways are there of answering this question?

Hotel Digital: A puzzle about the lifts in a hotel which serve floors based on the day of the week.

Verruca Value: The Verruca Value of a word is the number of vowels multiplied by the number of consonants. How many words can you find with Verruca Value of 24?

Back To The Factory: Find all the numbers below 1000 which have exactly 20 factors

Calendar Riddle: Work out the date of my birthday from the clues in rhyme.

Divisible by 11: Can you prove that a three digit number whose first and third digits add up to the value of the second digit must be divisible by eleven?

HCF and LCM given: If given the HCF, LCM and the smaller of two numbers can you find the other?

Nine Digit Numbers: How many different nine digit numbers are their that contain each of the digits from one to nine?

Reverse Connection: Find a general rule for the difference between a two digit number and that same number with the digits reversed.

Weather Reports: Which five different integers multiply together to give 12?

Zero Even: Prove that zero is an even number.

#### Times Square

Practise your times tables with this self-checking multiplication grid

Transum.org/go/?to=timessquare

### Curriculum for Factors:

#### Year 5

Pupils should be taught to identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers more...

Pupils should be taught to know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers more...

Pupils should be taught to establish whether a number up to 100 is prime and recall prime numbers up to 19 more...

Pupils should be taught to solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes more...

#### Year 6

Pupils should be taught to use common factors to simplify fractions; use common multiples to express fractions in the same denomination more...

Pupils should be taught to identify common factors, common multiples and prime numbers more...

#### Years 7 to 9

Pupils should be taught to use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation property more...

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"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
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### Notes:

A factor is a whole number that divides exactly into another whole number. We say the first number is a factor of the second number. Prime numbers only have two factors, one and themselves.

After becoming familiar with times tables pupils then practise using this knowledge by recognising factors of numbers. There are well known and some less well known divisibility tests that are of some use in solving more complex number problems.

Pupils need to know how to find the highest common factor (HCF) of two or more numbers either mentally or using a pen and paper strategy so that they can correctly manipulate fractions and algebraic expressions.

### Factors Teacher Resources:

Divisibility Tests 2-12: A visual aid designed to be projected in the classroom. Here you can find the quick ways of telling whether a number is exactly divisible by the numbers two to twelve.

HCF and LCM Calculator: A demonstration of how to find the highest common factor (HCF or GCD) and the lowest common multiple (LCM) of two numbers.

Number Grids: Investigate the properties of number with these interactive number grids.

Prison Cell Problem: A number patterns investigation involving prisoners and prison guards.

Sieve of Eratosthenes: A self checking, interactive version of the Sieve of Eratosthenes method of finding prime numbers.

### Factors Activities:

Connect 4 Factors: This a game for one or two players. The winner is the first to line up four numbers with a common factor.

Delightfully Divisible: Arrange the digits one to nine to make a number which is divisible in the way described.

Divisibility Test: Practise using the quick ways to spot whether a number is divisible by the digits two to nine.

Doughnut Dissection: A puzzle to find four different ways of making 900 by multiplying together three different numbers.

Factor Pairs: Find the factor pairs of the given numbers and arrange them in order.

Factor Trees: Create factor trees to find the prime factors of the given numbers.

Factorising: Practise the skills of algebraic factorisation in this structured online self marking exercise.

Flabbergasted Game: This game for one or two players is an exciting challenge to demonstrate an understanding of factors and multiples.

HCF and LCM: Practise finding the highest common factor (H.C.F), sometimes called the greatest common divisor, and the lowest common multiple (L.C.M) of two numbers.

How Many Factors?: Work out the number of factors a number has then write them all as a list.

Number Grids: Investigate the properties of number with these interactive number grids.

Pick The Primes: Pick the prime fruit from the tree as quickly as possible. Practise to improve your personal best time.

Prime Labyrinth: Find the path to the centre of the labyrinth by moving along the prime numbers.

Prison Cell Problem: A number patterns investigation involving prisoners and prison guards.

Satisfy: Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers.

Scallywags and Scoundrels: Arrange the scallywags and scoundrels on the chairs so that the numbers of any two sitting next to each other add up to a prime number.

Sieve of Eratosthenes: A self checking, interactive version of the Sieve of Eratosthenes method of finding prime numbers.

Square and Cube Roots: Find square roots and cube roots by first calculating the prime factorisation of a number.

Three Ways: Find three different ways of multiplying four different digits together to get the given target number. There are nine levels for this online challenge.

Threes and Fives: A game for two players who take turns to add a domino to the line in order to score threes and fives.

Times Square: Practise your times tables with this self-checking multiplication grid

### Factors Investigations:

Aunt Sophie's Post Office: Investigate the ways of making up various postage amounts using 3p and 8p stamps. An online stamp calculator is provided for you to check your working.

### Factors Videos:

Transum's Factors Video

Finding Prime Factors: A straight forward explanation from SLEP

HCF and LCM explained: This video from Mathsmaster.org shows very clearly the step by step method of finding the LCM and HCF of two numbers.

HCF and LCM explained part 2: This video from Mathsmaster.org shows very clearly the step by step method of finding the LCM and HCF of two numbers using Prime Factorisation.

### Factors Worksheets/Printables:

Divisibility Tests Worksheet: This worksheet contains a list of the divisibility tests along with a fill-in-the-table exercise.

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#### Connect 4 Factors

This a game for one or two players. The winner is the first to line up four numbers with a common factor.

Transum.org/go/?to=connect4

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Tuesday, August 29, 2017