Q: What are the prime factors of the number 945,528?

 A: 2, 3, 39397

Why are those the prime factors of the number 945,528?

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 945,528

945,528
Factor Arrows
2472,764
Factor Arrows
2236,382
Factor Arrows
2118,191
Factor Arrows
339,397

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, 39397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 39,397 = 945,528

This can also be written as 23 x 31 x 39,3971 = 945,528

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


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