Q: What are the prime factors of the number 156,871,323?

 A: 3, 7, 10247

Why are those the prime factors of the number 156,871,323?

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 156,871,323

156,871,323
Factor Arrows
352,290,441
Factor Arrows
317,430,147
Factor Arrows
35,810,049
Factor Arrows
31,936,683
Factor Arrows
3645,561
Factor Arrows
3215,187
Factor Arrows
371,729
Factor Arrows
710,247

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, 7, 10247

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 10,247 = 156,871,323

This can also be written as 37 x 71 x 10,2471 = 156,871,323

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


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