Q: What are the prime factors of the number 652,912?

 A: 2, 13, 43, 73

Why are those the prime factors of the number 652,912?

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 652,912

652,912
Factor Arrows
2326,456
Factor Arrows
2163,228
Factor Arrows
281,614
Factor Arrows
240,807
Factor Arrows
133,139
Factor Arrows
4373

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, 13, 43, 73

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 43 x 73 = 652,912

This can also be written as 24 x 131 x 431 x 731 = 652,912

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


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