Q: What are the prime factors of the number 65,172?

 A: 2, 3, 5431

Why are those the prime factors of the number 65,172?

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 65,172

65,172
Factor Arrows
232,586
Factor Arrows
216,293
Factor Arrows
35,431

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, 5431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5,431 = 65,172

This can also be written as 22 x 31 x 5,4311 = 65,172

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


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