Q: What are the prime factors of the number 142,410,540?

 A: 2, 3, 5, 239, 9931

Why are those the prime factors of the number 142,410,540?

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 142,410,540

142,410,540
Factor Arrows
271,205,270
Factor Arrows
235,602,635
Factor Arrows
311,867,545
Factor Arrows
52,373,509
Factor Arrows
2399,931

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, 239, 9931

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 239 x 9,931 = 142,410,540

This can also be written as 22 x 31 x 51 x 2391 x 9,9311 = 142,410,540

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


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