Q: What are the prime factors of the number 160,262,552?

 A: 2, 139, 167, 863

Why are those the prime factors of the number 160,262,552?

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 160,262,552

160,262,552
Factor Arrows
280,131,276
Factor Arrows
240,065,638
Factor Arrows
220,032,819
Factor Arrows
139144,121
Factor Arrows
167863

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, 139, 167, 863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 139 x 167 x 863 = 160,262,552

This can also be written as 23 x 1391 x 1671 x 8631 = 160,262,552

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


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