Q: What are the prime factors of the number 160,822,632?

 A: 2, 3, 29, 231067

Why are those the prime factors of the number 160,822,632?

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 160,822,632

160,822,632
Factor Arrows
280,411,316
Factor Arrows
240,205,658
Factor Arrows
220,102,829
Factor Arrows
36,700,943
Factor Arrows
29231,067

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, 29, 231067

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 29 x 231,067 = 160,822,632

This can also be written as 23 x 31 x 291 x 231,0671 = 160,822,632

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


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