Q: What are the prime factors of the number 44,062,844?

 A: 2, 7, 17, 92569

Why are those the prime factors of the number 44,062,844?

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 44,062,844

44,062,844
Factor Arrows
222,031,422
Factor Arrows
211,015,711
Factor Arrows
71,573,673
Factor Arrows
1792,569

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, 17, 92569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 17 x 92,569 = 44,062,844

This can also be written as 22 x 71 x 171 x 92,5691 = 44,062,844

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


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