Q: What are the prime factors of the number 2,288,368?

 A: 2, 89, 1607

Why are those the prime factors of the number 2,288,368?

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 2,288,368

2,288,368
Factor Arrows
21,144,184
Factor Arrows
2572,092
Factor Arrows
2286,046
Factor Arrows
2143,023
Factor Arrows
891,607

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, 89, 1607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 89 x 1,607 = 2,288,368

This can also be written as 24 x 891 x 1,6071 = 2,288,368

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


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