Q: What are the prime factors of the number 167,883,972?

 A: 2, 3, 31, 451301

Why are those the prime factors of the number 167,883,972?

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 167,883,972

167,883,972
Factor Arrows
283,941,986
Factor Arrows
241,970,993
Factor Arrows
313,990,331
Factor Arrows
31451,301

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, 31, 451301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 31 x 451,301 = 167,883,972

This can also be written as 22 x 31 x 311 x 451,3011 = 167,883,972

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


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