Q: What are the prime factors of the number 41,670,804?

 A: 2, 3, 7, 431, 1151

Why are those the prime factors of the number 41,670,804?

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 41,670,804

41,670,804
Factor Arrows
220,835,402
Factor Arrows
210,417,701
Factor Arrows
33,472,567
Factor Arrows
7496,081
Factor Arrows
4311,151

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, 7, 431, 1151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 431 x 1,151 = 41,670,804

This can also be written as 22 x 31 x 71 x 4311 x 1,1511 = 41,670,804

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


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