Q: What are the prime factors of the number 141,247,236?

 A: 2, 3, 13, 379, 2389

Why are those the prime factors of the number 141,247,236?

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 141,247,236

141,247,236
Factor Arrows
270,623,618
Factor Arrows
235,311,809
Factor Arrows
311,770,603
Factor Arrows
13905,431
Factor Arrows
3792,389

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, 13, 379, 2389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 379 x 2,389 = 141,247,236

This can also be written as 22 x 31 x 131 x 3791 x 2,3891 = 141,247,236

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


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