Q: What are the prime factors of the number 63,582,890?

 A: 2, 5, 7, 17, 449

Why are those the prime factors of the number 63,582,890?

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 63,582,890

63,582,890
Factor Arrows
231,791,445
Factor Arrows
56,358,289
Factor Arrows
7908,327
Factor Arrows
7129,761
Factor Arrows
177,633
Factor Arrows
17449

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, 5, 7, 17, 449

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 7 x 17 x 17 x 449 = 63,582,890

This can also be written as 21 x 51 x 72 x 172 x 4491 = 63,582,890

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


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