Q: What are the prime factors of the number 162,000,668?

 A: 2, 31, 331, 3947

Why are those the prime factors of the number 162,000,668?

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 162,000,668

162,000,668
Factor Arrows
281,000,334
Factor Arrows
240,500,167
Factor Arrows
311,306,457
Factor Arrows
3313,947

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, 31, 331, 3947

We can check our work by multiplying all of the prime factors together: 2 x 2 x 31 x 331 x 3,947 = 162,000,668

This can also be written as 22 x 311 x 3311 x 3,9471 = 162,000,668

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


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