Q: What are the prime factors of the number 5,456,880?

 A: 2, 3, 5, 11, 13, 53

Why are those the prime factors of the number 5,456,880?

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 5,456,880

5,456,880
Factor Arrows
22,728,440
Factor Arrows
21,364,220
Factor Arrows
2682,110
Factor Arrows
2341,055
Factor Arrows
3113,685
Factor Arrows
337,895
Factor Arrows
57,579
Factor Arrows
11689
Factor Arrows
1353

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, 11, 13, 53

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 53 = 5,456,880

This can also be written as 24 x 32 x 51 x 111 x 131 x 531 = 5,456,880

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


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