Q: What are the prime factors of the number 210,223,236?

 A: 2, 3, 41, 427283

Why are those the prime factors of the number 210,223,236?

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 210,223,236

210,223,236
Factor Arrows
2105,111,618
Factor Arrows
252,555,809
Factor Arrows
317,518,603
Factor Arrows
41427,283

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, 41, 427283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 41 x 427,283 = 210,223,236

This can also be written as 22 x 31 x 411 x 427,2831 = 210,223,236

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


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