Q: What are the prime factors of the number 40,352,410?

 A: 2, 5, 7, 79, 7297

Why are those the prime factors of the number 40,352,410?

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 40,352,410

40,352,410
Factor Arrows
220,176,205
Factor Arrows
54,035,241
Factor Arrows
7576,463
Factor Arrows
797,297

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, 5, 7, 79, 7297

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 79 x 7,297 = 40,352,410

This can also be written as 21 x 51 x 71 x 791 x 7,2971 = 40,352,410

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


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