Q: What are the prime factors of the number 262,281,072?

 A: 2, 3, 197, 27737

Why are those the prime factors of the number 262,281,072?

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 262,281,072

262,281,072
Factor Arrows
2131,140,536
Factor Arrows
265,570,268
Factor Arrows
232,785,134
Factor Arrows
216,392,567
Factor Arrows
35,464,189
Factor Arrows
19727,737

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, 197, 27737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 197 x 27,737 = 262,281,072

This can also be written as 24 x 31 x 1971 x 27,7371 = 262,281,072

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 262,281,072:


Ask a Question