Q: What are the prime factors of the number 4,992?

 A: 2, 3, 13

Why are those the prime factors of the number 4,992?

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 4,992

4,992
Factor Arrows
22,496
Factor Arrows
21,248
Factor Arrows
2624
Factor Arrows
2312
Factor Arrows
2156
Factor Arrows
278
Factor Arrows
239
Factor Arrows
313

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

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 2 x 3 x 13 = 4,992

This can also be written as 27 x 31 x 131 = 4,992

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


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