Q: What are the prime factors of the number 160,977,670?

 A: 2, 5, 7, 83, 103, 269

Why are those the prime factors of the number 160,977,670?

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 160,977,670

160,977,670
Factor Arrows
280,488,835
Factor Arrows
516,097,767
Factor Arrows
72,299,681
Factor Arrows
8327,707
Factor Arrows
103269

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, 83, 103, 269

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 83 x 103 x 269 = 160,977,670

This can also be written as 21 x 51 x 71 x 831 x 1031 x 2691 = 160,977,670

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


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