Q: What are the prime factors of the number 674,644,572?

 A: 2, 3, 7, 892387

Why are those the prime factors of the number 674,644,572?

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 674,644,572

674,644,572
Factor Arrows
2337,322,286
Factor Arrows
2168,661,143
Factor Arrows
356,220,381
Factor Arrows
318,740,127
Factor Arrows
36,246,709
Factor Arrows
7892,387

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, 892387

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 892,387 = 674,644,572

This can also be written as 22 x 33 x 71 x 892,3871 = 674,644,572

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


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