Q: What are the prime factors of the number 23,404,800?

 A: 2, 3, 5, 23, 53

Why are those the prime factors of the number 23,404,800?

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 23,404,800

23,404,800
Factor Arrows
211,702,400
Factor Arrows
25,851,200
Factor Arrows
22,925,600
Factor Arrows
21,462,800
Factor Arrows
2731,400
Factor Arrows
2365,700
Factor Arrows
2182,850
Factor Arrows
291,425
Factor Arrows
330,475
Factor Arrows
56,095
Factor Arrows
51,219
Factor Arrows
2353

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, 23, 53

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 3 x 5 x 5 x 23 x 53 = 23,404,800

This can also be written as 28 x 31 x 52 x 231 x 531 = 23,404,800

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 23,404,800:


Ask a Question