Q: What are the prime factors of the number 157,840,640?

 A: 2, 5, 317, 389

Why are those the prime factors of the number 157,840,640?

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 157,840,640

157,840,640
Factor Arrows
278,920,320
Factor Arrows
239,460,160
Factor Arrows
219,730,080
Factor Arrows
29,865,040
Factor Arrows
24,932,520
Factor Arrows
22,466,260
Factor Arrows
21,233,130
Factor Arrows
2616,565
Factor Arrows
5123,313
Factor Arrows
317389

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, 5, 317, 389

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 x 2 x 5 x 317 x 389 = 157,840,640

This can also be written as 28 x 51 x 3171 x 3891 = 157,840,640

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


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