Q: What are the prime factors of the number 41,479,692?

 A: 2, 3, 43, 80387

Why are those the prime factors of the number 41,479,692?

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 41,479,692

41,479,692
Factor Arrows
220,739,846
Factor Arrows
210,369,923
Factor Arrows
33,456,641
Factor Arrows
4380,387

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, 43, 80387

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 43 x 80,387 = 41,479,692

This can also be written as 22 x 31 x 431 x 80,3871 = 41,479,692

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


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