Find the least number by which 23064 should be divided so that the resulting number becomes a perfect square
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Answered by
21
hi friend :
prime factors of 23064 are : 2*2*2*3*31*31
pairs are :2*31
since 2*3*31 is unpaired so 23064 should be divided by 186 to get a perfect square
hope i helped you
pls mark it as brainliest answer
prime factors of 23064 are : 2*2*2*3*31*31
pairs are :2*31
since 2*3*31 is unpaired so 23064 should be divided by 186 to get a perfect square
hope i helped you
pls mark it as brainliest answer
Golda:
31 is paired. Only 2 and 3 are not paired.
wrong answer.
yes sorry
so we wil divide 23064 will 6 and the answer will be 3844
the square root of 3844 will be 62
now i have correted it
i mean corrected
pls mark it as brainliest answer
Answered by
28
Solution :-
To find the least number by 23064 should be divided so that the resulting
number becomes a perfect square, we have to find the prime factorization of 23064.
Prime factorization of 23064
___________
2 | 23064
|___________
2 | 11532
|___________
2 | 5766
|___________
3 | 2883
|___________
31 | 961
|___________
31 | 31
|___________
| 1
Prime factorization of 23064 = 2*2*2*3*31*31
We can see that only 2 and 3 are unpaired.
So, 2*3 = 6, is the least number should be divided so that the resulting
number is a perfect square.
Let us check it.
23064 ÷ 6 = 3844
√3844 = 62
Hence proved.
To find the least number by 23064 should be divided so that the resulting
number becomes a perfect square, we have to find the prime factorization of 23064.
Prime factorization of 23064
___________
2 | 23064
|___________
2 | 11532
|___________
2 | 5766
|___________
3 | 2883
|___________
31 | 961
|___________
31 | 31
|___________
| 1
Prime factorization of 23064 = 2*2*2*3*31*31
We can see that only 2 and 3 are unpaired.
So, 2*3 = 6, is the least number should be divided so that the resulting
number is a perfect square.
Let us check it.
23064 ÷ 6 = 3844
√3844 = 62
Hence proved.
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