0
What is the smallest positive integer which you can multiply to 5688 to make it a perfect square?
Wiki User
∙ 11y ago
In the prime factorisation of a perfect square in power format, all primes must be to an even power.
5688 = 23 x 32 x 79
To convert this it a perfect square, it needs the 2 and 79 to have an even power - the 3 is already at an even power.
The smallest way to do this is to multiply 5688 by 2 x 79, ie multiply it by 158.
5688 x 158 = 23 x 32 x 79 x 2 x 79
= 24 x 32 x 792
= (22 x 3 x 79)2
= (948)2
= 898704
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
What is the smallest positive integer that has exactly 6 perfect square divisors?
the answer is 144, it is divisible by 1, 4, 9, 16, 36, and 144.
What is the smallest positive perfect square that is divisible by the four smallest prime numbers?
(3x5x7x11)2 =1334025
What is the smallest negative perfect square that is divisible by the four smallest prime numbers?
Perfect squares are positive. A smallest negative number doesn't exist. The four smallest prime numbers are 2, 3, 5 and 7. The smallest perfect square would have to be 2^2 x 3^2 x 5^2 x 7^2 or 44,100
Product of an integer multiplied by itself?
perfect square
Is square root 11 an integer or fraction?
Answer: Mixed number Answer: It is neither, in the sense that you can't write the square root of any positive integer (except for the square root of perfect squares) exactly as a fraction. You can only approximate it. In other words, it's an irrational number.
Find the smallest positive integer k such that 1176k is a perfect square?
6.
What is the smallest positive integer value of x for which 54x is a perfect square?
324
Explain with workings What is the smallest positive integer q such that 25q is a perfect cube?
5
What is the smallest integer where the integer before it is a perfect square and the integer after it is a perfect cube?
The integer is 26
To get perfect cube?
You multiply an integer by itself twice or multiply 1 by an integer three times.
What is the smallest positive integer that has exactly 6 perfect square divisors?
the answer is 144, it is divisible by 1, 4, 9, 16, 36, and 144.
What is the smallest positive integer that 63 can be multiplied by in order for the product to be a perfect square?
63= 9* 7. 9 is already a perfect square, so mulitiply by 7. 7 is your answer.
What is the smallest integer greater than 1 that is both a perfect square and perfect cube?
its 81
What is the smallest positive integer that 248832 can be multiplied by in order for the product to be a perfect square?
The prime factorisation of 248832 is 2¹⁰ × 3⁵ Every perfect square number has a prime factorisation where each prime is to an even power. 2 has an even power 3 has an odd power, so need an extra power → multiple 248832 by 3 which gets (2⁵ × 3³)²
What does a perfect square mean?
Any time you multiply an integer with itself, the product is a perfect square.
What is the smallest positive integer q for which 1008q is a perfect square?
In terms of prime factors, 1008 = 24*32*7 Then since 24 and 32 are perfect squares, all that is required is to make 7q a perfect square and so q = 7.
What is least positive integer by which 68 should be multiplied so that resultant integer is a perfect square?
17
