Q: What are the prime factors of the number 63,527,436?

 A: 2, 3, 7, 17, 4943

Why are those the prime factors of the number 63,527,436?

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 63,527,436

63,527,436
Factor Arrows
231,763,718
Factor Arrows
215,881,859
Factor Arrows
35,293,953
Factor Arrows
31,764,651
Factor Arrows
3588,217
Factor Arrows
784,031
Factor Arrows
174,943

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, 17, 4943

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 17 x 4,943 = 63,527,436

This can also be written as 22 x 33 x 71 x 171 x 4,9431 = 63,527,436

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


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