Q: What are the prime factors of the number 7,882,240?

 A: 2, 5, 3079

Why are those the prime factors of the number 7,882,240?

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 7,882,240

7,882,240
Factor Arrows
23,941,120
Factor Arrows
21,970,560
Factor Arrows
2985,280
Factor Arrows
2492,640
Factor Arrows
2246,320
Factor Arrows
2123,160
Factor Arrows
261,580
Factor Arrows
230,790
Factor Arrows
215,395
Factor Arrows
53,079

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, 3079

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 2 x 2 x 2 x 5 x 3,079 = 7,882,240

This can also be written as 29 x 51 x 3,0791 = 7,882,240

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


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