Q: What are the prime factors of the number 2,587,536?

 A: 2, 3, 7, 17, 151

Why are those the prime factors of the number 2,587,536?

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 2,587,536

2,587,536
Factor Arrows
21,293,768
Factor Arrows
2646,884
Factor Arrows
2323,442
Factor Arrows
2161,721
Factor Arrows
353,907
Factor Arrows
317,969
Factor Arrows
72,567
Factor Arrows
17151

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, 17, 151

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 7 x 17 x 151 = 2,587,536

This can also be written as 24 x 32 x 71 x 171 x 1511 = 2,587,536

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


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