Q: What are the prime factors of the number 10,564,400?

 A: 2, 5, 7, 11

Why are those the prime factors of the number 10,564,400?

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 10,564,400

10,564,400
Factor Arrows
25,282,200
Factor Arrows
22,641,100
Factor Arrows
21,320,550
Factor Arrows
2660,275
Factor Arrows
5132,055
Factor Arrows
526,411
Factor Arrows
73,773
Factor Arrows
7539
Factor Arrows
777
Factor Arrows
711

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, 5, 7, 11

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 7 x 7 x 7 x 7 x 11 = 10,564,400

This can also be written as 24 x 52 x 74 x 111 = 10,564,400

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 10,564,400:


Ask a Question