Q: What are the prime factors of the number 40,374,368?

 A: 2, 1261699

Why are those the prime factors of the number 40,374,368?

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 40,374,368

40,374,368
Factor Arrows
220,187,184
Factor Arrows
210,093,592
Factor Arrows
25,046,796
Factor Arrows
22,523,398
Factor Arrows
21,261,699

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, 1261699

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 1,261,699 = 40,374,368

This can also be written as 25 x 1,261,6991 = 40,374,368

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


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