Q: What are the prime factors of the number 167,348,352?

 A: 2, 3, 19, 22937

Why are those the prime factors of the number 167,348,352?

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 167,348,352

167,348,352
Factor Arrows
283,674,176
Factor Arrows
241,837,088
Factor Arrows
220,918,544
Factor Arrows
210,459,272
Factor Arrows
25,229,636
Factor Arrows
22,614,818
Factor Arrows
21,307,409
Factor Arrows
3435,803
Factor Arrows
1922,937

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, 19, 22937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19 x 22,937 = 167,348,352

This can also be written as 27 x 31 x 191 x 22,9371 = 167,348,352

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


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