Q: What are the prime factors of the number 2,342,720?

 A: 2, 5, 7321

Why are those the prime factors of the number 2,342,720?

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 2,342,720

2,342,720
Factor Arrows
21,171,360
Factor Arrows
2585,680
Factor Arrows
2292,840
Factor Arrows
2146,420
Factor Arrows
273,210
Factor Arrows
236,605
Factor Arrows
57,321

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, 7321

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7,321 = 2,342,720

This can also be written as 26 x 51 x 7,3211 = 2,342,720

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


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