Q: What are the prime factors of the number 40,402,208?

 A: 2, 7, 11, 19, 863

Why are those the prime factors of the number 40,402,208?

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 40,402,208

40,402,208
Factor Arrows
220,201,104
Factor Arrows
210,100,552
Factor Arrows
25,050,276
Factor Arrows
22,525,138
Factor Arrows
21,262,569
Factor Arrows
7180,367
Factor Arrows
1116,397
Factor Arrows
19863

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, 7, 11, 19, 863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 11 x 19 x 863 = 40,402,208

This can also be written as 25 x 71 x 111 x 191 x 8631 = 40,402,208

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


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