Q: What are the prime factors of the number 17,738,136?

 A: 2, 3, 13, 6317

Why are those the prime factors of the number 17,738,136?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 17,738,136

17,738,136
Factor Arrows
28,869,068
Factor Arrows
24,434,534
Factor Arrows
22,217,267
Factor Arrows
3739,089
Factor Arrows
3246,363
Factor Arrows
382,121
Factor Arrows
136,317

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 13, 6317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 13 x 6,317 = 17,738,136

This can also be written as 23 x 33 x 131 x 6,3171 = 17,738,136

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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