Q: What are the prime factors of the number 160,101,130?

 A: 2, 5, 7, 326737

Why are those the prime factors of the number 160,101,130?

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 160,101,130

160,101,130
Factor Arrows
280,050,565
Factor Arrows
516,010,113
Factor Arrows
72,287,159
Factor Arrows
7326,737

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, 7, 326737

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 7 x 326,737 = 160,101,130

This can also be written as 21 x 51 x 72 x 326,7371 = 160,101,130

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


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