Q: What are the prime factors of the number 30,423,666?

 A: 2, 3, 7, 13, 55721

Why are those the prime factors of the number 30,423,666?

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 30,423,666

30,423,666
Factor Arrows
215,211,833
Factor Arrows
35,070,611
Factor Arrows
7724,373
Factor Arrows
1355,721

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, 7, 13, 55721

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 13 x 55,721 = 30,423,666

This can also be written as 21 x 31 x 71 x 131 x 55,7211 = 30,423,666

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


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