Q: What are the prime factors of the number 157,700,544?

 A: 2, 3, 163, 5039

Why are those the prime factors of the number 157,700,544?

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 157,700,544

157,700,544
Factor Arrows
278,850,272
Factor Arrows
239,425,136
Factor Arrows
219,712,568
Factor Arrows
29,856,284
Factor Arrows
24,928,142
Factor Arrows
22,464,071
Factor Arrows
3821,357
Factor Arrows
1635,039

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, 3, 163, 5039

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 3 x 163 x 5,039 = 157,700,544

This can also be written as 26 x 31 x 1631 x 5,0391 = 157,700,544

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


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