Q: What are the prime factors of the number 167,348,355?

 A: 3, 5, 139, 80263

Why are those the prime factors of the number 167,348,355?

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 167,348,355

167,348,355
Factor Arrows
355,782,785
Factor Arrows
511,156,557
Factor Arrows
13980,263

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:

3, 5, 139, 80263

We can check our work by multiplying all of the prime factors together: 3 x 5 x 139 x 80,263 = 167,348,355

This can also be written as 31 x 51 x 1391 x 80,2631 = 167,348,355

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


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