Q: What are the prime factors of the number 65,252?

 A: 2, 11, 1483

Why are those the prime factors of the number 65,252?

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 65,252

65,252
Factor Arrows
232,626
Factor Arrows
216,313
Factor Arrows
111,483

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, 11, 1483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 1,483 = 65,252

This can also be written as 22 x 111 x 1,4831 = 65,252

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


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