Q: What are the prime factors of the number 2,675,088?

 A: 2, 3, 13, 1429

Why are those the prime factors of the number 2,675,088?

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 2,675,088

2,675,088
Factor Arrows
21,337,544
Factor Arrows
2668,772
Factor Arrows
2334,386
Factor Arrows
2167,193
Factor Arrows
355,731
Factor Arrows
318,577
Factor Arrows
131,429

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, 13, 1429

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 13 x 1,429 = 2,675,088

This can also be written as 24 x 32 x 131 x 1,4291 = 2,675,088

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


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