Q: What are the prime factors of the number 142,310,223?

 A: 3, 11, 23, 83, 251

Why are those the prime factors of the number 142,310,223?

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 142,310,223

142,310,223
Factor Arrows
347,436,741
Factor Arrows
315,812,247
Factor Arrows
35,270,749
Factor Arrows
11479,159
Factor Arrows
2320,833
Factor Arrows
83251

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, 11, 23, 83, 251

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 23 x 83 x 251 = 142,310,223

This can also be written as 33 x 111 x 231 x 831 x 2511 = 142,310,223

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


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