Q: What are the prime factors of the number 160,771,936?

 A: 2, 13, 386471

Why are those the prime factors of the number 160,771,936?

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 160,771,936

160,771,936
Factor Arrows
280,385,968
Factor Arrows
240,192,984
Factor Arrows
220,096,492
Factor Arrows
210,048,246
Factor Arrows
25,024,123
Factor Arrows
13386,471

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, 13, 386471

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 386,471 = 160,771,936

This can also be written as 25 x 131 x 386,4711 = 160,771,936

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


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