Q: What are the prime factors of the number 54,003,240?

 A: 2, 3, 5, 31, 1613

Why are those the prime factors of the number 54,003,240?

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 54,003,240

54,003,240
Factor Arrows
227,001,620
Factor Arrows
213,500,810
Factor Arrows
26,750,405
Factor Arrows
32,250,135
Factor Arrows
3750,045
Factor Arrows
3250,015
Factor Arrows
550,003
Factor Arrows
311,613

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, 31, 1613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 5 x 31 x 1,613 = 54,003,240

This can also be written as 23 x 33 x 51 x 311 x 1,6131 = 54,003,240

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


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