Q: What are the prime factors of the number 44,443,252?

 A: 2, 7, 43, 36913

Why are those the prime factors of the number 44,443,252?

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 44,443,252

44,443,252
Factor Arrows
222,221,626
Factor Arrows
211,110,813
Factor Arrows
71,587,259
Factor Arrows
4336,913

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, 7, 43, 36913

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 43 x 36,913 = 44,443,252

This can also be written as 22 x 71 x 431 x 36,9131 = 44,443,252

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


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