Q: What are the prime factors of the number 481,950?

 A: 2, 3, 5, 7, 17

Why are those the prime factors of the number 481,950?

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 481,950

481,950
Factor Arrows
2240,975
Factor Arrows
380,325
Factor Arrows
326,775
Factor Arrows
38,925
Factor Arrows
32,975
Factor Arrows
5595
Factor Arrows
5119
Factor Arrows
717

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, 5, 7, 17

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 17 = 481,950

This can also be written as 21 x 34 x 52 x 71 x 171 = 481,950

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 481,950:


Ask a Question