Q: What are the prime factors of the number 551,816,002?

 A: 2, 29, 37, 47, 5471

Why are those the prime factors of the number 551,816,002?

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 551,816,002

551,816,002
Factor Arrows
2275,908,001
Factor Arrows
299,514,069
Factor Arrows
37257,137
Factor Arrows
475,471

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, 29, 37, 47, 5471

We can check our work by multiplying all of the prime factors together: 2 x 29 x 37 x 47 x 5,471 = 551,816,002

This can also be written as 21 x 291 x 371 x 471 x 5,4711 = 551,816,002

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


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