Q: What are the prime factors of the number 883,784?

 A: 2, 11, 83

Why are those the prime factors of the number 883,784?

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 883,784

883,784
Factor Arrows
2441,892
Factor Arrows
2220,946
Factor Arrows
2110,473
Factor Arrows
1110,043
Factor Arrows
11913
Factor Arrows
1183

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, 11, 83

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 11 x 11 x 83 = 883,784

This can also be written as 23 x 113 x 831 = 883,784

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


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