Q: What are the prime factors of the number 251,041,200?

 A: 2, 3, 5, 209201

Why are those the prime factors of the number 251,041,200?

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 251,041,200

251,041,200
Factor Arrows
2125,520,600
Factor Arrows
262,760,300
Factor Arrows
231,380,150
Factor Arrows
215,690,075
Factor Arrows
35,230,025
Factor Arrows
51,046,005
Factor Arrows
5209,201

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, 5, 209201

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 5 x 209,201 = 251,041,200

This can also be written as 24 x 31 x 52 x 209,2011 = 251,041,200

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 251,041,200:


Ask a Question