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Binomial (1 Viewer)
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Carrotsticks
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What does 2,10 mean?
Carrotsticks
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Well 4 is a power of 2, and 4 is a divisor of 100!
Likewise, 100 is a power of 10, and it too is a divisor of 100!
In general, so long as there exists some integer A and B such that A^B is less than 100, it will always be divisible by 100! since 100! contains all the positive integers from 1 to 100.
Not too sure what your question is, unless that was it.
Likewise, 100 is a power of 10, and it too is a divisor of 100!
In general, so long as there exists some integer A and B such that A^B is less than 100, it will always be divisible by 100! since 100! contains all the positive integers from 1 to 100.
Not too sure what your question is, unless that was it.
Sy123
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My interpretation of the question:
What powers of 2 are divisors of 10!
?
 \cdot (3^2) \cdot ( 2^3) \cdot 7 \cdot (2 \cdot 3) \cdot5 \cdot (2^2) \cdot 3 \cdot 2 \\ \\ 10! = 2^7 \cdot 3^4 \cdot 5^2 \cdot 7 )
So, powers of 2 that divide into 10! is: 2, 4, 8, 16, 32, 64, 128
Since 10 = 2 * 5
So, powers of 10 that divide 10! is: (2 * 5), (2^2 * 5^2) = 10, 100.
You can do the same with 3, 7, 5 etc quite easily
What powers of 2 are divisors of 10!
?
So, powers of 2 that divide into 10! is: 2, 4, 8, 16, 32, 64, 128
Since 10 = 2 * 5
So, powers of 10 that divide 10! is: (2 * 5), (2^2 * 5^2) = 10, 100.
You can do the same with 3, 7, 5 etc quite easily