Q: What are the prime factors of the number 10,421,166?

 A: 2, 3, 7, 281, 883

Why are those the prime factors of the number 10,421,166?

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 10,421,166

10,421,166
Factor Arrows
25,210,583
Factor Arrows
31,736,861
Factor Arrows
7248,123
Factor Arrows
281883

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, 7, 281, 883

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 281 x 883 = 10,421,166

This can also be written as 21 x 31 x 71 x 2811 x 8831 = 10,421,166

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 10,421,166:


Ask a Question