Q: What are the prime factors of the number 21,060,576?

 A: 2, 3, 73127

Why are those the prime factors of the number 21,060,576?

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 21,060,576

21,060,576
Factor Arrows
210,530,288
Factor Arrows
25,265,144
Factor Arrows
22,632,572
Factor Arrows
21,316,286
Factor Arrows
2658,143
Factor Arrows
3219,381
Factor Arrows
373,127

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, 73127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 73,127 = 21,060,576

This can also be written as 25 x 32 x 73,1271 = 21,060,576

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


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