Q: What are the prime factors of the number 157,565,555?

 A: 5, 7, 29, 53, 101

Why are those the prime factors of the number 157,565,555?

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 157,565,555

157,565,555
Factor Arrows
531,513,111
Factor Arrows
74,501,873
Factor Arrows
29155,237
Factor Arrows
295,353
Factor Arrows
53101

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, 7, 29, 53, 101

We can check our work by multiplying all of the prime factors together: 5 x 7 x 29 x 29 x 53 x 101 = 157,565,555

This can also be written as 51 x 71 x 292 x 531 x 1011 = 157,565,555

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


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