Q: Is the factor of the sum of digits equals 9 or a multiple of 9?

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If that is the case, then three is a factor of the original number.

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12

No factor of 9 has three digits. 450 is a three-digit multiple of 150 (and of 9) with a digit sum of 9.

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50

Yes, yes, and no. 3- sum of digits must be multiple of 3. 6- sum of digits must be multiple of 3 and number must be even (multiple of 2). 9- sum of digits must be multiple of 9. (The sum of the digits here is 21.)

The sum of the digits in 252 is 2 + 5 + 2 which equals 9.

The sum of the digits is also a multiple of 9. And, if the sum of the digits is too large, you can sum those digits and keep going.

A number is divisible by 3 if the sum of its digits is a multiple of 3. A number is divisible by 6 if the sum of its digits is a multiple of 3 and it's even. A number is divisible by 9 if the sum of its digits is a multiple of 9.

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144

Start with the smallest multiple of 13 and continue with the next smallest until finding one that fits the specifications. 13, sum of digits is 1 + 3 = 4 which is not prime 26, sum of digits is 2 + 6 = 8 which is not prime 39, sum of digits is 3 + 9 = 12 which is not prime 52, sum of digits is 5 + 2 = 7 which is prime So, 52 is the smallest positive multiple of 13 for which the sum of its digits is prime.

24 divided by three equals 8 divided by four equals 6 2 plus 4 equals 6

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22

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65

One possibility is 11111222223333344444

Is the sum of the digits a multiple of 9?

189 is a composite. Some quick tests, which can be done in your head: Check if the number is even (2 is a factor). Ones place will have 0,2,4,6, or 8 if even. Multiple of 5 (5 is a factor): Ones digit is 0 or 5. Multiple of 3 or 9: Add up the digits in the number; if this sum is 3 or a multiple of 3, then the original number is a multiple of 3 (3 is a factor). Additionally, if this sum equals 9 or a multiple of 9, then 9 is a factor. This is the case for 189 : 1+8+9=18, which is a multiple of 9. Since we found a factor (in addition to 1 & the original number) then the number is composite and not prime.

Ignoring the pronouns, 24 and 60 fit those conditions.

If the sum of the digits of a number is a multiple of 9, the number is a multiple of 9.

I think you might mean "multiple." If the sum of a number's digits is a multiple of 9, the original number is as well. If you want to know how you know if a number is a factor of 9, memorize the numbers 1, 3 and 9.

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