Q: What are the prime factors of the number 134,331,048?

 A: 2, 3, 207301

Why are those the prime factors of the number 134,331,048?

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 134,331,048

134,331,048
Factor Arrows
267,165,524
Factor Arrows
233,582,762
Factor Arrows
216,791,381
Factor Arrows
35,597,127
Factor Arrows
31,865,709
Factor Arrows
3621,903
Factor Arrows
3207,301

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, 207301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 207,301 = 134,331,048

This can also be written as 23 x 34 x 207,3011 = 134,331,048

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 134,331,048:


Ask a Question