Q: What are the prime factors of the number 161,216,739?

 A: 3, 563, 31817

Why are those the prime factors of the number 161,216,739?

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 161,216,739

161,216,739
Factor Arrows
353,738,913
Factor Arrows
317,912,971
Factor Arrows
56331,817

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:

3, 563, 31817

We can check our work by multiplying all of the prime factors together: 3 x 3 x 563 x 31,817 = 161,216,739

This can also be written as 32 x 5631 x 31,8171 = 161,216,739

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


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