Q: What are the prime factors of the number 551,343,140?

 A: 2, 5, 19, 1450903

Why are those the prime factors of the number 551,343,140?

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 551,343,140

551,343,140
Factor Arrows
2275,671,570
Factor Arrows
2137,835,785
Factor Arrows
527,567,157
Factor Arrows
191,450,903

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, 19, 1450903

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 19 x 1,450,903 = 551,343,140

This can also be written as 22 x 51 x 191 x 1,450,9031 = 551,343,140

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


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