Q: What are the prime factors of the number 63,046,340?

 A: 2, 5, 7, 64333

Why are those the prime factors of the number 63,046,340?

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 63,046,340

63,046,340
Factor Arrows
231,523,170
Factor Arrows
215,761,585
Factor Arrows
53,152,317
Factor Arrows
7450,331
Factor Arrows
764,333

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, 64333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 7 x 64,333 = 63,046,340

This can also be written as 22 x 51 x 72 x 64,3331 = 63,046,340

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


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