Q: What are the prime factors of the number 882,936?

 A: 2, 3, 12263

Why are those the prime factors of the number 882,936?

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 882,936

882,936
Factor Arrows
2441,468
Factor Arrows
2220,734
Factor Arrows
2110,367
Factor Arrows
336,789
Factor Arrows
312,263

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, 12263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 12,263 = 882,936

This can also be written as 23 x 32 x 12,2631 = 882,936

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


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