Q: What are the prime factors of the number 40,043,712?

 A: 2, 3, 73, 2857

Why are those the prime factors of the number 40,043,712?

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 40,043,712

40,043,712
Factor Arrows
220,021,856
Factor Arrows
210,010,928
Factor Arrows
25,005,464
Factor Arrows
22,502,732
Factor Arrows
21,251,366
Factor Arrows
2625,683
Factor Arrows
3208,561
Factor Arrows
732,857

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, 73, 2857

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 73 x 2,857 = 40,043,712

This can also be written as 26 x 31 x 731 x 2,8571 = 40,043,712

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


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