Q: What are the prime factors of the number 551,544,876?

 A: 2, 3, 23, 24671

Why are those the prime factors of the number 551,544,876?

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 551,544,876

551,544,876
Factor Arrows
2275,772,438
Factor Arrows
2137,886,219
Factor Arrows
345,962,073
Factor Arrows
315,320,691
Factor Arrows
35,106,897
Factor Arrows
31,702,299
Factor Arrows
3567,433
Factor Arrows
2324,671

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, 23, 24671

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 3 x 23 x 24,671 = 551,544,876

This can also be written as 22 x 35 x 231 x 24,6711 = 551,544,876

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


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