Q: What are the prime factors of the number 41,979,024?

 A: 2, 3, 291521

Why are those the prime factors of the number 41,979,024?

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 41,979,024

41,979,024
Factor Arrows
220,989,512
Factor Arrows
210,494,756
Factor Arrows
25,247,378
Factor Arrows
22,623,689
Factor Arrows
3874,563
Factor Arrows
3291,521

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, 291521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 291,521 = 41,979,024

This can also be written as 24 x 32 x 291,5211 = 41,979,024

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


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