Q: What are the prime factors of the number 7,420,096?

 A: 2, 269, 431

Why are those the prime factors of the number 7,420,096?

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 7,420,096

7,420,096
Factor Arrows
23,710,048
Factor Arrows
21,855,024
Factor Arrows
2927,512
Factor Arrows
2463,756
Factor Arrows
2231,878
Factor Arrows
2115,939
Factor Arrows
269431

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, 269, 431

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 269 x 431 = 7,420,096

This can also be written as 26 x 2691 x 4311 = 7,420,096

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


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