Q: What are the prime factors of the number 44,632,445?

 A: 5, 11, 13, 62423

Why are those the prime factors of the number 44,632,445?

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 44,632,445

44,632,445
Factor Arrows
58,926,489
Factor Arrows
11811,499
Factor Arrows
1362,423

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:

5, 11, 13, 62423

We can check our work by multiplying all of the prime factors together: 5 x 11 x 13 x 62,423 = 44,632,445

This can also be written as 51 x 111 x 131 x 62,4231 = 44,632,445

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


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