"The prime factors of 2024 are (2, 2, 2, 11, and 23).
Justin jogged every day that was a prime number except for days that are prime factors of 2024 resulting in the following list, (3, 5, 7, 13, 17, 19, 29, and 31).
Since 2 is a factor of 2024 and therefore, Justin did not jog on 2-Jan, there may be some even days to consider. The only even day that is not a factor of 2024 nor a multiple of any of the prime number days is 16, resulting in the following list of days Justin jogged, (3, 5, 7, 13, 16, 17, 19, 29, and 31). Counting these days results in a total of 9 days Justin went jogging.
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Wil Ransome,
Wednesday, January 3, 2024
"It seems to me that since 2024 = 2cubed x 11 x 23, therefore eliminating 2, 4, 8, 22, 23, one simply has to write the numbers from 1 to 31 and cross off these numbers, then work through and cross off all the other ones that are divisible by previously remaining ones and get 3, 5, 7, 13, 16, 17, 19, 29, 31. Justin jogged on 9 days."
Mala, New Zealand
Tuesday, January 9, 2024
"Happy New Year 2024 to you too. Justin can only jog on the days that are prime numbers after 2, excluding 23 (a factor of 2024). So, on day 3, 5, 7, 11, 13, 17, 19, 29 and 31 (a total of 9 days in January 2024)."
Rick,
Monday, January 1, 2024
"The prime factors of 2024 are (2, 2, 2, 11, and 23).
Justin jogged every day that was a prime number except for days that are prime factors of 2024 resulting in the following list, (3, 5, 7, 13, 17, 19, 29, and 31).
Since 2 is a factor of 2024 and therefore, Justin did not jog on 2-Jan, there may be some even days to consider. The only even day that is not a factor of 2024 nor a multiple of any of the prime number days is 16, resulting in the following list of days Justin jogged, (3, 5, 7, 13, 16, 17, 19, 29, and 31). Counting these days results in a total of 9 days Justin went jogging. "
Wil Ransome,
Wednesday, January 3, 2024
"It seems to me that since 2024 = 2cubed x 11 x 23, therefore eliminating 2, 4, 8, 22, 23, one simply has to write the numbers from 1 to 31 and cross off these numbers, then work through and cross off all the other ones that are divisible by previously remaining ones and get 3, 5, 7, 13, 16, 17, 19, 29, 31. Justin jogged on 9 days."
Mala, New Zealand
Tuesday, January 9, 2024
"Happy New Year 2024 to you too. Justin can only jog on the days that are prime numbers after 2, excluding 23 (a factor of 2024). So, on day 3, 5, 7, 11, 13, 17, 19, 29 and 31 (a total of 9 days in January 2024)."