Q: What are the prime factors of the number 497,952?

 A: 2, 3, 7, 13, 19

Why are those the prime factors of the number 497,952?

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 497,952

497,952
Factor Arrows
2248,976
Factor Arrows
2124,488
Factor Arrows
262,244
Factor Arrows
231,122
Factor Arrows
215,561
Factor Arrows
35,187
Factor Arrows
31,729
Factor Arrows
7247
Factor Arrows
1319

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, 7, 13, 19

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 19 = 497,952

This can also be written as 25 x 32 x 71 x 131 x 191 = 497,952

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


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