Q: What are the prime factors of the number 7,134,144?

 A: 2, 3, 73, 509

Why are those the prime factors of the number 7,134,144?

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 7,134,144

7,134,144
Factor Arrows
23,567,072
Factor Arrows
21,783,536
Factor Arrows
2891,768
Factor Arrows
2445,884
Factor Arrows
2222,942
Factor Arrows
2111,471
Factor Arrows
337,157
Factor Arrows
73509

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, 73, 509

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 3 x 73 x 509 = 7,134,144

This can also be written as 26 x 31 x 731 x 5091 = 7,134,144

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


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