Q: What are the prime factors of the number 44,055,005?

 A: 5, 23, 43, 59, 151

Why are those the prime factors of the number 44,055,005?

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 44,055,005

44,055,005
Factor Arrows
58,811,001
Factor Arrows
23383,087
Factor Arrows
438,909
Factor Arrows
59151

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, 23, 43, 59, 151

We can check our work by multiplying all of the prime factors together: 5 x 23 x 43 x 59 x 151 = 44,055,005

This can also be written as 51 x 231 x 431 x 591 x 1511 = 44,055,005

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


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