Q: What are the prime factors of the number 40,444,772?

 A: 2, 397, 25469

Why are those the prime factors of the number 40,444,772?

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 40,444,772

40,444,772
Factor Arrows
220,222,386
Factor Arrows
210,111,193
Factor Arrows
39725,469

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, 397, 25469

We can check our work by multiplying all of the prime factors together: 2 x 2 x 397 x 25,469 = 40,444,772

This can also be written as 22 x 3971 x 25,4691 = 40,444,772

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


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