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Q: The number is more than 19 less than 31 A multiple of 9 What is the number?

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14

65

Every prime number except 2 must be odd. This is because if it were even it would be divisible by 2 and so wouldn't be a prime number. The next point to note is that all odd numbers are one more or one less than a multiple of 4. Because 2 more than a multiple of 4 is even, and 3 more than a multiple of 4 is the same as 1 less than the multiple of 4 above. Thus every prime number except 2 must be 1 more or 1 less than a multiple of 4.

15 is an odd number less than 20.

In that range, every prime number is either one more or one less than a multiple of 4. This also works for 6.

84

4 x 5

It is 30.

Any factor of the number less than the number itself.

10 is such a number.

70, it is a multiple of 2 and 7 is more than 50 but less than 100 and 2*5*7=70 and all those numbers are prime.

41-- Less than 100-- 42 is the multiple of 7-- 4 + 1 = 5

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