Q: What are the prime factors of the number 157,885,472?

 A: 2, 439, 11239

Why are those the prime factors of the number 157,885,472?

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 157,885,472

157,885,472
Factor Arrows
278,942,736
Factor Arrows
239,471,368
Factor Arrows
219,735,684
Factor Arrows
29,867,842
Factor Arrows
24,933,921
Factor Arrows
43911,239

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, 439, 11239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 439 x 11,239 = 157,885,472

This can also be written as 25 x 4391 x 11,2391 = 157,885,472

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


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