Q: What are the prime factors of the number 142,607,312?

 A: 2, 19, 53, 167

Why are those the prime factors of the number 142,607,312?

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 142,607,312

142,607,312
Factor Arrows
271,303,656
Factor Arrows
235,651,828
Factor Arrows
217,825,914
Factor Arrows
28,912,957
Factor Arrows
19469,103
Factor Arrows
538,851
Factor Arrows
53167

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, 19, 53, 167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 53 x 53 x 167 = 142,607,312

This can also be written as 24 x 191 x 532 x 1671 = 142,607,312

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


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