Q: What are the prime factors of the number 123,300,342?

 A: 2, 3, 11, 622729

Why are those the prime factors of the number 123,300,342?

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 123,300,342

123,300,342
Factor Arrows
261,650,171
Factor Arrows
320,550,057
Factor Arrows
36,850,019
Factor Arrows
11622,729

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, 622729

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 622,729 = 123,300,342

This can also be written as 21 x 32 x 111 x 622,7291 = 123,300,342

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 123,300,342:


Ask a Question