Q: What are the prime factors of the number 273,984?

 A: 2, 3, 1427

Why are those the prime factors of the number 273,984?

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 273,984

273,984
Factor Arrows
2136,992
Factor Arrows
268,496
Factor Arrows
234,248
Factor Arrows
217,124
Factor Arrows
28,562
Factor Arrows
24,281
Factor Arrows
31,427

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, 1427

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1,427 = 273,984

This can also be written as 26 x 31 x 1,4271 = 273,984

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 273,984:


Ask a Question