Q: What are the prime factors of the number 143,265,267?

 A: 3, 196523

Why are those the prime factors of the number 143,265,267?

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 143,265,267

143,265,267
Factor Arrows
347,755,089
Factor Arrows
315,918,363
Factor Arrows
35,306,121
Factor Arrows
31,768,707
Factor Arrows
3589,569
Factor Arrows
3196,523

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, 196523

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 196,523 = 143,265,267

This can also be written as 36 x 196,5231 = 143,265,267

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


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