Q: What are the prime factors of the number 19,032?

 A: 2, 3, 13, 61

Why are those the prime factors of the number 19,032?

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 19,032

19,032
Factor Arrows
29,516
Factor Arrows
24,758
Factor Arrows
22,379
Factor Arrows
3793
Factor Arrows
1361

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, 13, 61

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 61 = 19,032

This can also be written as 23 x 31 x 131 x 611 = 19,032

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 19,032:


Ask a Question