Q: What are the prime factors of the number 40,363,704?

 A: 2, 3, 186869

Why are those the prime factors of the number 40,363,704?

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 40,363,704

40,363,704
Factor Arrows
220,181,852
Factor Arrows
210,090,926
Factor Arrows
25,045,463
Factor Arrows
31,681,821
Factor Arrows
3560,607
Factor Arrows
3186,869

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, 186869

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 186,869 = 40,363,704

This can also be written as 23 x 33 x 186,8691 = 40,363,704

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


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