Q: What are the prime factors of the number 1,318,176?

 A: 2, 3, 23, 199

Why are those the prime factors of the number 1,318,176?

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 1,318,176

1,318,176
Factor Arrows
2659,088
Factor Arrows
2329,544
Factor Arrows
2164,772
Factor Arrows
282,386
Factor Arrows
241,193
Factor Arrows
313,731
Factor Arrows
34,577
Factor Arrows
23199

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, 23, 199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23 x 199 = 1,318,176

This can also be written as 25 x 32 x 231 x 1991 = 1,318,176

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 1,318,176:


Ask a Question