Q: What are the prime factors of the number 54,133,350?

 A: 2, 3, 5, 313, 1153

Why are those the prime factors of the number 54,133,350?

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 54,133,350

54,133,350
Factor Arrows
227,066,675
Factor Arrows
39,022,225
Factor Arrows
51,804,445
Factor Arrows
5360,889
Factor Arrows
3131,153

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, 313, 1153

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 313 x 1,153 = 54,133,350

This can also be written as 21 x 31 x 52 x 3131 x 1,1531 = 54,133,350

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


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