Q: What are the prime factors of the number 232,834,113?

 A: 3, 19, 1361603

Why are those the prime factors of the number 232,834,113?

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 232,834,113

232,834,113
Factor Arrows
377,611,371
Factor Arrows
325,870,457
Factor Arrows
191,361,603

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, 19, 1361603

We can check our work by multiplying all of the prime factors together: 3 x 3 x 19 x 1,361,603 = 232,834,113

This can also be written as 32 x 191 x 1,361,6031 = 232,834,113

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


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