Q: What are the prime factors of the number 40,044,024?

 A: 2, 3, 67, 2767

Why are those the prime factors of the number 40,044,024?

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 40,044,024

40,044,024
Factor Arrows
220,022,012
Factor Arrows
210,011,006
Factor Arrows
25,005,503
Factor Arrows
31,668,501
Factor Arrows
3556,167
Factor Arrows
3185,389
Factor Arrows
672,767

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, 67, 2767

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 67 x 2,767 = 40,044,024

This can also be written as 23 x 33 x 671 x 2,7671 = 40,044,024

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


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