Q: What are the prime factors of the number 551,343,136?

 A: 2, 673, 25601

Why are those the prime factors of the number 551,343,136?

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 551,343,136

551,343,136
Factor Arrows
2275,671,568
Factor Arrows
2137,835,784
Factor Arrows
268,917,892
Factor Arrows
234,458,946
Factor Arrows
217,229,473
Factor Arrows
67325,601

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, 673, 25601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 673 x 25,601 = 551,343,136

This can also be written as 25 x 6731 x 25,6011 = 551,343,136

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


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