Q: What are the prime factors of the number 142,042,020?

 A: 2, 3, 5, 23, 102929

Why are those the prime factors of the number 142,042,020?

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 142,042,020

142,042,020
Factor Arrows
271,021,010
Factor Arrows
235,510,505
Factor Arrows
311,836,835
Factor Arrows
52,367,367
Factor Arrows
23102,929

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, 5, 23, 102929

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 23 x 102,929 = 142,042,020

This can also be written as 22 x 31 x 51 x 231 x 102,9291 = 142,042,020

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


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