Q: What are the prime factors of the number 220,200,300?

 A: 2, 3, 5, 244667

Why are those the prime factors of the number 220,200,300?

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 220,200,300

220,200,300
Factor Arrows
2110,100,150
Factor Arrows
255,050,075
Factor Arrows
318,350,025
Factor Arrows
36,116,675
Factor Arrows
51,223,335
Factor Arrows
5244,667

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, 244667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 244,667 = 220,200,300

This can also be written as 22 x 32 x 52 x 244,6671 = 220,200,300

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


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