Q: What are the prime factors of the number 30,342,004?

 A: 2, 7, 11, 29, 43, 79

Why are those the prime factors of the number 30,342,004?

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 30,342,004

30,342,004
Factor Arrows
215,171,002
Factor Arrows
27,585,501
Factor Arrows
71,083,643
Factor Arrows
1198,513
Factor Arrows
293,397
Factor Arrows
4379

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, 7, 11, 29, 43, 79

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 11 x 29 x 43 x 79 = 30,342,004

This can also be written as 22 x 71 x 111 x 291 x 431 x 791 = 30,342,004

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


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