Q: What are the prime factors of the number 41,113,008?

 A: 2, 3, 31723

Why are those the prime factors of the number 41,113,008?

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 41,113,008

41,113,008
Factor Arrows
220,556,504
Factor Arrows
210,278,252
Factor Arrows
25,139,126
Factor Arrows
22,569,563
Factor Arrows
3856,521
Factor Arrows
3285,507
Factor Arrows
395,169
Factor Arrows
331,723

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, 31723

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 3 x 3 x 31,723 = 41,113,008

This can also be written as 24 x 34 x 31,7231 = 41,113,008

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


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