Q: What are the prime factors of the number 8,967,552?

 A: 2, 3, 11, 193

Why are those the prime factors of the number 8,967,552?

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 8,967,552

8,967,552
Factor Arrows
24,483,776
Factor Arrows
22,241,888
Factor Arrows
21,120,944
Factor Arrows
2560,472
Factor Arrows
2280,236
Factor Arrows
2140,118
Factor Arrows
270,059
Factor Arrows
323,353
Factor Arrows
112,123
Factor Arrows
11193

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, 193

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 3 x 11 x 11 x 193 = 8,967,552

This can also be written as 27 x 31 x 112 x 1931 = 8,967,552

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 8,967,552:


Ask a Question