Q: What are the prime factors of the number 54,278,824?

 A: 2, 17, 1381

Why are those the prime factors of the number 54,278,824?

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 54,278,824

54,278,824
Factor Arrows
227,139,412
Factor Arrows
213,569,706
Factor Arrows
26,784,853
Factor Arrows
17399,109
Factor Arrows
1723,477
Factor Arrows
171,381

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, 17, 1381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 17 x 17 x 1,381 = 54,278,824

This can also be written as 23 x 173 x 1,3811 = 54,278,824

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 54,278,824:


Ask a Question