Q: What are the prime factors of the number 30,842,724?

 A: 2, 3, 11, 23, 10159

Why are those the prime factors of the number 30,842,724?

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 30,842,724

30,842,724
Factor Arrows
215,421,362
Factor Arrows
27,710,681
Factor Arrows
32,570,227
Factor Arrows
11233,657
Factor Arrows
2310,159

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, 11, 23, 10159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 23 x 10,159 = 30,842,724

This can also be written as 22 x 31 x 111 x 231 x 10,1591 = 30,842,724

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


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