Q: What are the prime factors of the number 20,120,210?

 A: 2, 5, 11, 101, 1811

Why are those the prime factors of the number 20,120,210?

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 20,120,210

20,120,210
Factor Arrows
210,060,105
Factor Arrows
52,012,021
Factor Arrows
11182,911
Factor Arrows
1011,811

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, 101, 1811

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 101 x 1,811 = 20,120,210

This can also be written as 21 x 51 x 111 x 1011 x 1,8111 = 20,120,210

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


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