Q: What are the prime factors of the number 2,203,784?

 A: 2, 11, 79, 317

Why are those the prime factors of the number 2,203,784?

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 2,203,784

2,203,784
Factor Arrows
21,101,892
Factor Arrows
2550,946
Factor Arrows
2275,473
Factor Arrows
1125,043
Factor Arrows
79317

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, 79, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 79 x 317 = 2,203,784

This can also be written as 23 x 111 x 791 x 3171 = 2,203,784

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


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