Q: What are the prime factors of the number 40,566,463?

 A: 7, 19, 43573

Why are those the prime factors of the number 40,566,463?

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 40,566,463

40,566,463
Factor Arrows
75,795,209
Factor Arrows
7827,887
Factor Arrows
1943,573

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:

7, 19, 43573

We can check our work by multiplying all of the prime factors together: 7 x 7 x 19 x 43,573 = 40,566,463

This can also be written as 72 x 191 x 43,5731 = 40,566,463

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


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