Question #8613d

1 Answer
Apr 4, 2016

#17xx97#

Explanation:

I assume you want the prime factorization of the number.

So, the last digit is 9, therefore it is not divisible by 2 nor 5.

The sum of its digits is 20, which is not multiple of 3, therefore the number is also not divisible by 3.

Subtract the double of 9 to 164 and obtain 146, which is not multiple of 7.

Add 1 and 4 and subtract 6 and 9. It gives -10 which is not multiple of eleven,

Now there are not any rules I can remember for the other prime numbers, so you have to divide explicitly the number by the prime factors:

#1649//13=1268.84....#No

#1649//17=97color# Yes

97 is prime, so the prime factorization is #17xx97#