Q: What are the prime factors of the number 143,013,303?

 A: 3, 127, 179, 233

Why are those the prime factors of the number 143,013,303?

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 143,013,303

143,013,303
Factor Arrows
347,671,101
Factor Arrows
315,890,367
Factor Arrows
35,296,789
Factor Arrows
12741,707
Factor Arrows
179233

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, 127, 179, 233

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 127 x 179 x 233 = 143,013,303

This can also be written as 33 x 1271 x 1791 x 2331 = 143,013,303

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


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