Q: What are the prime factors of the number 19,210,300?

 A: 2, 5, 192103

Why are those the prime factors of the number 19,210,300?

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 19,210,300

19,210,300
Factor Arrows
29,605,150
Factor Arrows
24,802,575
Factor Arrows
5960,515
Factor Arrows
5192,103

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, 192103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 192,103 = 19,210,300

This can also be written as 22 x 52 x 192,1031 = 19,210,300

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


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