Q: What are the prime factors of the number 147,202,737?

 A: 3, 11, 23, 193943

Why are those the prime factors of the number 147,202,737?

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 147,202,737

147,202,737
Factor Arrows
349,067,579
Factor Arrows
114,460,689
Factor Arrows
23193,943

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, 11, 23, 193943

We can check our work by multiplying all of the prime factors together: 3 x 11 x 23 x 193,943 = 147,202,737

This can also be written as 31 x 111 x 231 x 193,9431 = 147,202,737

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


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