Q: What are the prime factors of the number 481,952?

 A: 2, 15061

Why are those the prime factors of the number 481,952?

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 481,952

481,952
Factor Arrows
2240,976
Factor Arrows
2120,488
Factor Arrows
260,244
Factor Arrows
230,122
Factor Arrows
215,061

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, 15061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 15,061 = 481,952

This can also be written as 25 x 15,0611 = 481,952

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


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