Q: What are the prime factors of the number 157,557,672?

 A: 2, 3, 137, 15973

Why are those the prime factors of the number 157,557,672?

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 157,557,672

157,557,672
Factor Arrows
278,778,836
Factor Arrows
239,389,418
Factor Arrows
219,694,709
Factor Arrows
36,564,903
Factor Arrows
32,188,301
Factor Arrows
13715,973

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, 137, 15973

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 137 x 15,973 = 157,557,672

This can also be written as 23 x 32 x 1371 x 15,9731 = 157,557,672

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


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