Q: What are the prime factors of the number 533,344?

 A: 2, 7, 2381

Why are those the prime factors of the number 533,344?

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 533,344

533,344
Factor Arrows
2266,672
Factor Arrows
2133,336
Factor Arrows
266,668
Factor Arrows
233,334
Factor Arrows
216,667
Factor Arrows
72,381

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, 7, 2381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 2,381 = 533,344

This can also be written as 25 x 71 x 2,3811 = 533,344

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 533,344:


Ask a Question