Q: What are the prime factors of the number 2,067,492?

 A: 2, 3, 7, 151, 163

Why are those the prime factors of the number 2,067,492?

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 2,067,492

2,067,492
Factor Arrows
21,033,746
Factor Arrows
2516,873
Factor Arrows
3172,291
Factor Arrows
724,613
Factor Arrows
151163

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, 151, 163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 151 x 163 = 2,067,492

This can also be written as 22 x 31 x 71 x 1511 x 1631 = 2,067,492

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


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