In the answer here, I saw 2 and 91 as the prime factors of 182. Actually, 91 = 13 x 7 is not prime.?

Question

To find all the prime factor, you have to try and divide the number by all prime numbers up to the square root of the highest square below the number.

Take 182. The highest square below it is 169. Its square root is 13. So we must try and see if the prime numbers upto 13 (That is, 2, 3. 5, 7, 11 and 13) are factors of 132.

Answer 1

The first prime factor is 2, but this is not necessary that the prime number must be multiplied by another prime number to get your desired number.

As if you check.

How will 2 be the factor of 182 unless it will be multiplied by any other number regardless is it prime or not.

2 * 91 = 182
7 * 26 = 182
13 * 14 = 182

Now tell me that the first coloumn have prime numbers but none of the numbers used in second coloumn are prime.

Hope to answer the question upto satisfaction.

Answer 2

Another way to find prime factors of a number is to begin dividing by prime factors below the number (i.e. 2, 3, 5 . . .) until only a prime factor is left.

2 is a factor of 182: (2)(91).
91 is not prime, so we need to keep going.
3 is not a factorof 91.
5 is not a factor of 91.
7 is a factor of 91: (7)(13)
13 is prime, so we are done.

Therefore, the prime factors of 182 are 2, 7, and 13.
(2)(7)(13) = 182

Answer 3

So why waste 5 points publishing it as a question? Post your answer and earn 2.
"91 is a prime number" does not stand a chance to be the best answer.

Answer 4

This is true. 91 is not a prime number. Good Eye.

Now knowing this, your prime factors will clearly be 2, 7, and 13.

Answer 5

true its not prime