Q: What are the prime factors of the number 167,062,056?

 A: 2, 3, 7, 994417

Why are those the prime factors of the number 167,062,056?

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 167,062,056

167,062,056
Factor Arrows
283,531,028
Factor Arrows
241,765,514
Factor Arrows
220,882,757
Factor Arrows
36,960,919
Factor Arrows
7994,417

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, 7, 994417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 994,417 = 167,062,056

This can also be written as 23 x 31 x 71 x 994,4171 = 167,062,056

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


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