The greatest prime number which exactly divise 826 is
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413 would be the correct answer.
826÷413 = 2
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Answer:
The greatest prime number which exactly divide 826 = 59
Step-by-step explanation:
Given number is 826
To find,
The greatest prime number which is exactly divisible by 826
Recall the theorem:
Fundamental theorem of Arithmetic
Every integer greater than 1 is either a prime number or it can be expressed as the product of prime numbers in exactly one way
Solution:
The prime factorization of 826 is 2×7×59
According to the fundamental theorem of arithmetic, this is the unique way of representing 826 as the product of prime factors
From this we can get the the prime factors of 826 are 2,7,59
The greatest prime factor of 826 = 59
∴The greatest prime number which exactly divide 826 = 59
#SPJ2
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