Q: What are the prime factors of the number 40,132,304?

 A: 2, 2508269

Why are those the prime factors of the number 40,132,304?

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 40,132,304

40,132,304
Factor Arrows
220,066,152
Factor Arrows
210,033,076
Factor Arrows
25,016,538
Factor Arrows
22,508,269

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, 2508269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2,508,269 = 40,132,304

This can also be written as 24 x 2,508,2691 = 40,132,304

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


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