It is: 2744/14 = 196
14.
First, factorise the number using power format:
2744 = 2^3 x 7^3
To be a perfect square, each prime must have an even power, so to find out the smallest divisor to use, rewrite each prime with an odd power as itself times the prime to the power of one less:
2744 = (2 x 2^2) x (7 x 7^2)
Now collect the primes with a power of 1 together:
2744 = (2 x 7) x (2^2 x 7^2)
This represents the least divisor: 2 x 7 = 14
since 2^2 x 7^2 = (2 x 7)^2 which is a perfect square:
2744 ÷ 14 = 196 = 14^2
100 is a perfect square. If you divide this into 2100 you are left with 21.21 is 3 x 7. Three and seven are two different prime numbers.You can't get a perfect square out of that, so the answer is :-Dividing by 21 gives you a perfect square.Dividing by any smaller number would leave an unpaired and unpairable prime number in the quotient.
5607 + 18 = 5625, a perfect square. The perfect square of a square root is the number you started with.
1024
It is not possible to give a sensible answer to this question. The least common divisor (LCD) refers to a divisor that is COMMON to two or more numbers. You have only one number in the question!
Odd numbers do NOT have a factor of 2. When an Even number is divided by an Odd number with no remainder, the prime factors of the divisor cancel out the prime factors of the dividend, but there will be no prime 2 to cancel the prime factor of 2 in the dividend leaving the the quotient to have a factor of 2, and so will be Even. --------------------------------------------------------- Alternatively, consider what happens when you multiply Odd and Even numbers: Odd × Odd = Odd Odd × Even = Even Even × Even = Even The result is Even ONLY if at least one of the numbers multiplied together is Even. Thus if you divide an Even number by an Odd number, the result must be Even. Also consider that Odd times Odd is Odd. Multiplication is the inverse of division, so if you have: dividend ÷ divisor = quotient then dividend = quotient × divisor Now, if the divisor is Odd and the quotient is Odd, the the Dividend MUST be Odd (since Odd × Odd = Odd). Thus if the Dividend is Even and the Divisor is Odd, then the Quotient must be Even.
24 is not a square - at least, it is not a perfect square.
It is 1.
100 is a perfect square. If you divide this into 2100 you are left with 21.21 is 3 x 7. Three and seven are two different prime numbers.You can't get a perfect square out of that, so the answer is :-Dividing by 21 gives you a perfect square.Dividing by any smaller number would leave an unpaired and unpairable prime number in the quotient.
It is: 9900*11 = 108900 which is a perfect square and its square root is 330
5607 + 18 = 5625, a perfect square. The perfect square of a square root is the number you started with.
The least common divisor is always the number "1."
1024
1024
The least common divisor of any set of integers is 1.
316548รท365 give 867 quotient 93 remainder Dividend-remainder= divisor*quotient 316548-93=365*867 which is 316455 93 should be subracted.
832/48 gives 17 as quotient and 16 as remainder. Dividend-remainder=divisor*quotient 832-16 = 48*17 which is 816 that is divisible by 48. So 16 to be subracted.
10000 = 1002.