Q: What are the prime factors of the number 2,595,432?

 A: 2, 3, 7, 2207

Why are those the prime factors of the number 2,595,432?

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 2,595,432

2,595,432
Factor Arrows
21,297,716
Factor Arrows
2648,858
Factor Arrows
2324,429
Factor Arrows
3108,143
Factor Arrows
715,449
Factor Arrows
72,207

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, 7, 2207

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 7 x 2,207 = 2,595,432

This can also be written as 23 x 31 x 72 x 2,2071 = 2,595,432

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


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