Q: What are the prime factors of the number 4,150,464?

 A: 2, 3, 21617

Why are those the prime factors of the number 4,150,464?

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 4,150,464

4,150,464
Factor Arrows
22,075,232
Factor Arrows
21,037,616
Factor Arrows
2518,808
Factor Arrows
2259,404
Factor Arrows
2129,702
Factor Arrows
264,851
Factor Arrows
321,617

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, 3, 21617

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 21,617 = 4,150,464

This can also be written as 26 x 31 x 21,6171 = 4,150,464

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


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