Q: What are the prime factors of the number 5,477,280?

 A: 2, 3, 5, 11411

Why are those the prime factors of the number 5,477,280?

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 5,477,280

5,477,280
Factor Arrows
22,738,640
Factor Arrows
21,369,320
Factor Arrows
2684,660
Factor Arrows
2342,330
Factor Arrows
2171,165
Factor Arrows
357,055
Factor Arrows
511,411

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, 11411

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11,411 = 5,477,280

This can also be written as 25 x 31 x 51 x 11,4111 = 5,477,280

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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