Q: What are the prime factors of the number 1,170,432?

 A: 2, 3, 127

Why are those the prime factors of the number 1,170,432?

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 1,170,432

1,170,432
Factor Arrows
2585,216
Factor Arrows
2292,608
Factor Arrows
2146,304
Factor Arrows
273,152
Factor Arrows
236,576
Factor Arrows
218,288
Factor Arrows
29,144
Factor Arrows
24,572
Factor Arrows
22,286
Factor Arrows
21,143
Factor Arrows
3381
Factor Arrows
3127

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, 127

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 2 x 2 x 2 x 2 x 3 x 3 x 127 = 1,170,432

This can also be written as 210 x 32 x 1271 = 1,170,432

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 1,170,432:


Ask a Question