Q: What are the prime factors of the number 142,173,300?

 A: 2, 3, 5, 473911

Why are those the prime factors of the number 142,173,300?

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 142,173,300

142,173,300
Factor Arrows
271,086,650
Factor Arrows
235,543,325
Factor Arrows
311,847,775
Factor Arrows
52,369,555
Factor Arrows
5473,911

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, 473911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 473,911 = 142,173,300

This can also be written as 22 x 31 x 52 x 473,9111 = 142,173,300

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


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