Q: What are the prime factors of the number 210,432,063?

 A: 3, 73, 79, 12163

Why are those the prime factors of the number 210,432,063?

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 210,432,063

210,432,063
Factor Arrows
370,144,021
Factor Arrows
73960,877
Factor Arrows
7912,163

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:

3, 73, 79, 12163

We can check our work by multiplying all of the prime factors together: 3 x 73 x 79 x 12,163 = 210,432,063

This can also be written as 31 x 731 x 791 x 12,1631 = 210,432,063

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


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