Q: What are the prime factors of the number 20,817,378?

 A: 2, 3, 239, 1613

Why are those the prime factors of the number 20,817,378?

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 20,817,378

20,817,378
Factor Arrows
210,408,689
Factor Arrows
33,469,563
Factor Arrows
31,156,521
Factor Arrows
3385,507
Factor Arrows
2391,613

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, 239, 1613

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 239 x 1,613 = 20,817,378

This can also be written as 21 x 33 x 2391 x 1,6131 = 20,817,378

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


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