Q: What are the prime factors of the number 40,377,472?

 A: 2, 315449

Why are those the prime factors of the number 40,377,472?

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 40,377,472

40,377,472
Factor Arrows
220,188,736
Factor Arrows
210,094,368
Factor Arrows
25,047,184
Factor Arrows
22,523,592
Factor Arrows
21,261,796
Factor Arrows
2630,898
Factor Arrows
2315,449

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, 315449

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 2 x 315,449 = 40,377,472

This can also be written as 27 x 315,4491 = 40,377,472

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


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