Q: What are the prime factors of the number 40,352,416?

 A: 2, 13, 97001

Why are those the prime factors of the number 40,352,416?

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 40,352,416

40,352,416
Factor Arrows
220,176,208
Factor Arrows
210,088,104
Factor Arrows
25,044,052
Factor Arrows
22,522,026
Factor Arrows
21,261,013
Factor Arrows
1397,001

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, 13, 97001

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 97,001 = 40,352,416

This can also be written as 25 x 131 x 97,0011 = 40,352,416

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


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