Q: What are the prime factors of the number 298,896?

 A: 2, 3, 13, 479

Why are those the prime factors of the number 298,896?

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 298,896

298,896
Factor Arrows
2149,448
Factor Arrows
274,724
Factor Arrows
237,362
Factor Arrows
218,681
Factor Arrows
36,227
Factor Arrows
13479

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, 13, 479

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 13 x 479 = 298,896

This can also be written as 24 x 31 x 131 x 4791 = 298,896

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


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