Q: What are the prime factors of the number 2,088,207?

 A: 3, 11, 79, 89

Why are those the prime factors of the number 2,088,207?

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 2,088,207

2,088,207
Factor Arrows
3696,069
Factor Arrows
3232,023
Factor Arrows
377,341
Factor Arrows
117,031
Factor Arrows
7989

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:

3, 11, 79, 89

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 79 x 89 = 2,088,207

This can also be written as 33 x 111 x 791 x 891 = 2,088,207

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


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