find if 64 is a composite number or not
?
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0
Answer:
64 Is a composite number
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Answered by
9
Given:
64
To find:
64 is a composite number or not.
Solution:
2 | 64
2 | 32
2 | 16
2 | 8
2 | 4
2 | 2
1 | 1
64 = 2 * 2 * 2 * 2 * 2 * 2 = 2 ^ 6
Since, 64 can be written as the product of primes.
Therefore, under Fundamental theorem of arithmetic, 64 is a composite number.
Conclusion:
Under, Fundamental theorem of arithmetic, 64 = 2 ^ 6 is a composite number.
Extra Information:
Fundamental theorem of arithmetic:
Every composite number can be expressed (factorised) as product of primes, and this factorization is unique apart from the order in which the primes occur.
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