Q: What are the prime factors of the number 40,211,088?

 A: 2, 3, 837731

Why are those the prime factors of the number 40,211,088?

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 40,211,088

40,211,088
Factor Arrows
220,105,544
Factor Arrows
210,052,772
Factor Arrows
25,026,386
Factor Arrows
22,513,193
Factor Arrows
3837,731

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, 837731

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 837,731 = 40,211,088

This can also be written as 24 x 31 x 837,7311 = 40,211,088

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


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