Q: What are the prime factors of the number 44,801,028?

 A: 2, 3, 41, 127, 239

Why are those the prime factors of the number 44,801,028?

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 44,801,028

44,801,028
Factor Arrows
222,400,514
Factor Arrows
211,200,257
Factor Arrows
33,733,419
Factor Arrows
31,244,473
Factor Arrows
4130,353
Factor Arrows
127239

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, 41, 127, 239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 41 x 127 x 239 = 44,801,028

This can also be written as 22 x 32 x 411 x 1271 x 2391 = 44,801,028

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


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