Q: What are the prime factors of the number 62,824?

 A: 2, 7853

Why are those the prime factors of the number 62,824?

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 62,824

62,824
Factor Arrows
231,412
Factor Arrows
215,706
Factor Arrows
27,853

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, 7853

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7,853 = 62,824

This can also be written as 23 x 7,8531 = 62,824

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


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