Q: What are the prime factors of the number 894,036?

 A: 2, 3, 11, 13, 521

Why are those the prime factors of the number 894,036?

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 894,036

894,036
Factor Arrows
2447,018
Factor Arrows
2223,509
Factor Arrows
374,503
Factor Arrows
116,773
Factor Arrows
13521

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, 11, 13, 521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 13 x 521 = 894,036

This can also be written as 22 x 31 x 111 x 131 x 5211 = 894,036

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 894,036:


Ask a Question