Q: What are the prime factors of the number 40,041,536?

 A: 2, 647, 967

Why are those the prime factors of the number 40,041,536?

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 40,041,536

40,041,536
Factor Arrows
220,020,768
Factor Arrows
210,010,384
Factor Arrows
25,005,192
Factor Arrows
22,502,596
Factor Arrows
21,251,298
Factor Arrows
2625,649
Factor Arrows
647967

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, 647, 967

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 647 x 967 = 40,041,536

This can also be written as 26 x 6471 x 9671 = 40,041,536

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


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