Q: What are the prime factors of the number 300,043,150?

 A: 2, 5, 11, 545533

Why are those the prime factors of the number 300,043,150?

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 300,043,150

300,043,150
Factor Arrows
2150,021,575
Factor Arrows
530,004,315
Factor Arrows
56,000,863
Factor Arrows
11545,533

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, 5, 11, 545533

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 11 x 545,533 = 300,043,150

This can also be written as 21 x 52 x 111 x 545,5331 = 300,043,150

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


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