Q: What are the prime factors of the number 54,142,200?

 A: 2, 3, 5, 7, 4297

Why are those the prime factors of the number 54,142,200?

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 54,142,200

54,142,200
Factor Arrows
227,071,100
Factor Arrows
213,535,550
Factor Arrows
26,767,775
Factor Arrows
32,255,925
Factor Arrows
3751,975
Factor Arrows
5150,395
Factor Arrows
530,079
Factor Arrows
74,297

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, 7, 4297

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 4,297 = 54,142,200

This can also be written as 23 x 32 x 52 x 71 x 4,2971 = 54,142,200

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 54,142,200:


Ask a Question