Q: What are the prime factors of the number 551,214,531?

 A: 3, 7, 2916479

Why are those the prime factors of the number 551,214,531?

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 551,214,531

551,214,531
Factor Arrows
3183,738,177
Factor Arrows
361,246,059
Factor Arrows
320,415,353
Factor Arrows
72,916,479

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:

3, 7, 2916479

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 2,916,479 = 551,214,531

This can also be written as 33 x 71 x 2,916,4791 = 551,214,531

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


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