Q: What are the prime factors of the number 2,615,120?

 A: 2, 5, 97, 337

Why are those the prime factors of the number 2,615,120?

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 2,615,120

2,615,120
Factor Arrows
21,307,560
Factor Arrows
2653,780
Factor Arrows
2326,890
Factor Arrows
2163,445
Factor Arrows
532,689
Factor Arrows
97337

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, 5, 97, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 97 x 337 = 2,615,120

This can also be written as 24 x 51 x 971 x 3371 = 2,615,120

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


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