Q: What are the prime factors of the number 156,787,675?

 A: 5, 11, 43, 13259

Why are those the prime factors of the number 156,787,675?

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 156,787,675

156,787,675
Factor Arrows
531,357,535
Factor Arrows
56,271,507
Factor Arrows
11570,137
Factor Arrows
4313,259

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:

5, 11, 43, 13259

We can check our work by multiplying all of the prime factors together: 5 x 5 x 11 x 43 x 13,259 = 156,787,675

This can also be written as 52 x 111 x 431 x 13,2591 = 156,787,675

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


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