Q: What are the prime factors of the number 210,000,112?

 A: 2, 7, 971, 1931

Why are those the prime factors of the number 210,000,112?

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 210,000,112

210,000,112
Factor Arrows
2105,000,056
Factor Arrows
252,500,028
Factor Arrows
226,250,014
Factor Arrows
213,125,007
Factor Arrows
71,875,001
Factor Arrows
9711,931

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, 7, 971, 1931

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 971 x 1,931 = 210,000,112

This can also be written as 24 x 71 x 9711 x 1,9311 = 210,000,112

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


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