Q: What are the prime factors of the number 238,524,478?

 A: 2, 29, 31, 132661

Why are those the prime factors of the number 238,524,478?

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 238,524,478

238,524,478
Factor Arrows
2119,262,239
Factor Arrows
294,112,491
Factor Arrows
31132,661

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, 29, 31, 132661

We can check our work by multiplying all of the prime factors together: 2 x 29 x 31 x 132,661 = 238,524,478

This can also be written as 21 x 291 x 311 x 132,6611 = 238,524,478

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 238,524,478:


Ask a Question