Q: What are the prime factors of the number 4,620,456?

 A: 2, 3, 21391

Why are those the prime factors of the number 4,620,456?

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 4,620,456

4,620,456
Factor Arrows
22,310,228
Factor Arrows
21,155,114
Factor Arrows
2577,557
Factor Arrows
3192,519
Factor Arrows
364,173
Factor Arrows
321,391

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, 21391

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 21,391 = 4,620,456

This can also be written as 23 x 33 x 21,3911 = 4,620,456

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


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