Q: What are the prime factors of the number 551,145,070?

 A: 2, 5, 7, 113, 69677

Why are those the prime factors of the number 551,145,070?

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 551,145,070

551,145,070
Factor Arrows
2275,572,535
Factor Arrows
555,114,507
Factor Arrows
77,873,501
Factor Arrows
11369,677

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, 5, 7, 113, 69677

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 113 x 69,677 = 551,145,070

This can also be written as 21 x 51 x 71 x 1131 x 69,6771 = 551,145,070

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


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