Q: What are the prime factors of the number 137,513,536?

 A: 2, 2148649

Why are those the prime factors of the number 137,513,536?

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 137,513,536

137,513,536
Factor Arrows
268,756,768
Factor Arrows
234,378,384
Factor Arrows
217,189,192
Factor Arrows
28,594,596
Factor Arrows
24,297,298
Factor Arrows
22,148,649

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, 2148649

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2,148,649 = 137,513,536

This can also be written as 26 x 2,148,6491 = 137,513,536

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


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