Q: What are the prime factors of the number 2,246,040?

 A: 2, 3, 5, 17, 367

Why are those the prime factors of the number 2,246,040?

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 2,246,040

2,246,040
Factor Arrows
21,123,020
Factor Arrows
2561,510
Factor Arrows
2280,755
Factor Arrows
393,585
Factor Arrows
331,195
Factor Arrows
56,239
Factor Arrows
17367

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, 5, 17, 367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 17 x 367 = 2,246,040

This can also be written as 23 x 32 x 51 x 171 x 3671 = 2,246,040

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


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