Q: What are the prime factors of the number 536,161,350?

 A: 2, 3, 5, 103, 34703

Why are those the prime factors of the number 536,161,350?

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 536,161,350

536,161,350
Factor Arrows
2268,080,675
Factor Arrows
389,360,225
Factor Arrows
517,872,045
Factor Arrows
53,574,409
Factor Arrows
10334,703

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, 5, 103, 34703

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 103 x 34,703 = 536,161,350

This can also be written as 21 x 31 x 52 x 1031 x 34,7031 = 536,161,350

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


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