Q: What are the prime factors of the number 40,620,615?

 A: 3, 5, 7, 59, 79, 83

Why are those the prime factors of the number 40,620,615?

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 40,620,615

40,620,615
Factor Arrows
313,540,205
Factor Arrows
52,708,041
Factor Arrows
7386,863
Factor Arrows
596,557
Factor Arrows
7983

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:

3, 5, 7, 59, 79, 83

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 59 x 79 x 83 = 40,620,615

This can also be written as 31 x 51 x 71 x 591 x 791 x 831 = 40,620,615

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


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