Q: What are the prime factors of the number 157,895,960?

 A: 2, 5, 419, 9421

Why are those the prime factors of the number 157,895,960?

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 157,895,960

157,895,960
Factor Arrows
278,947,980
Factor Arrows
239,473,990
Factor Arrows
219,736,995
Factor Arrows
53,947,399
Factor Arrows
4199,421

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, 419, 9421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 419 x 9,421 = 157,895,960

This can also be written as 23 x 51 x 4191 x 9,4211 = 157,895,960

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


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