Q: What are the prime factors of the number 210,416,028?

 A: 2, 3, 43, 407783

Why are those the prime factors of the number 210,416,028?

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 210,416,028

210,416,028
Factor Arrows
2105,208,014
Factor Arrows
252,604,007
Factor Arrows
317,534,669
Factor Arrows
43407,783

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, 43, 407783

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 43 x 407,783 = 210,416,028

This can also be written as 22 x 31 x 431 x 407,7831 = 210,416,028

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


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