Q: What are the prime factors of the number 55,282,512?

 A: 2, 3, 233, 4943

Why are those the prime factors of the number 55,282,512?

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 55,282,512

55,282,512
Factor Arrows
227,641,256
Factor Arrows
213,820,628
Factor Arrows
26,910,314
Factor Arrows
23,455,157
Factor Arrows
31,151,719
Factor Arrows
2334,943

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, 233, 4943

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 233 x 4,943 = 55,282,512

This can also be written as 24 x 31 x 2331 x 4,9431 = 55,282,512

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


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