Q: What are the prime factors of the number 54,109,620?

 A: 2, 3, 5, 127, 263

Why are those the prime factors of the number 54,109,620?

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 54,109,620

54,109,620
Factor Arrows
227,054,810
Factor Arrows
213,527,405
Factor Arrows
34,509,135
Factor Arrows
31,503,045
Factor Arrows
3501,015
Factor Arrows
3167,005
Factor Arrows
533,401
Factor Arrows
127263

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, 127, 263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 127 x 263 = 54,109,620

This can also be written as 22 x 34 x 51 x 1271 x 2631 = 54,109,620

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


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