Q: What are the prime factors of the number 40,003,740?

 A: 2, 3, 5, 7, 19, 557

Why are those the prime factors of the number 40,003,740?

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 40,003,740

40,003,740
Factor Arrows
220,001,870
Factor Arrows
210,000,935
Factor Arrows
33,333,645
Factor Arrows
31,111,215
Factor Arrows
3370,405
Factor Arrows
574,081
Factor Arrows
710,583
Factor Arrows
19557

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, 5, 7, 19, 557

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 7 x 19 x 557 = 40,003,740

This can also be written as 22 x 33 x 51 x 71 x 191 x 5571 = 40,003,740

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


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