Q: What are the prime factors of the number 812,232?

 A: 2, 3, 29, 389

Why are those the prime factors of the number 812,232?

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 812,232

812,232
Factor Arrows
2406,116
Factor Arrows
2203,058
Factor Arrows
2101,529
Factor Arrows
333,843
Factor Arrows
311,281
Factor Arrows
29389

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, 29, 389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 29 x 389 = 812,232

This can also be written as 23 x 32 x 291 x 3891 = 812,232

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


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