No, 464 is not a perfect square. A perfect square is a number that can be expressed as the product of two equal integers. 464 cannot be written as the product of two equal integers, so it is not a perfect square.
To test if a number is a perfect square, you can check if the square root of that number is a whole number. When you take the square root of 464, it is approximately 21.53, which is not a whole number, so 464 is not a perfect square.
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What is the least number by which 468 be multiplied to make it a perfect square?
The least number that 468 needs to be multiplied by to make it a perfect square is 7. This is because 468 multiplied by 7, or 468 x 7, is equal to 3276, which is a perfect square (it is equal to 57 x 57).
What is the square root of 484?
The square root of 484 is approximately 22.0194. The process of finding the square root of a number is essentially the process of finding the number that, when multiplied by itself, would produce the number you want the square root of.
In this case, if the square root of 484 is multiplied by itself, we would get 484.
What can divide 484?
484 can be divided by 1, 2, 3, 4, 6, 9, 12, 16, 21, 24, 32, 42, 48, 61, 82, 123, 164, 246, and 484. It has 18 distinct factors.
How do you find the square root of 484 by division?
Finding the square root of 484 by division can be done by applying the long division method. First, the number 484 is divided by two to get the number 242. Then it is compared with the perfect squares between 1 and 242; the closest perfect square for 242 is 196.
Divide 242 by 196 and make sure to note down the remainder, which is 46. Then make a pair of the remainder and the quotient, which are 46 and 1. The remainder must be divided again by the same divisor (196), so the result is 0 with a quotient of 23.
Again, make a pair of the remainder and the quotient, which are 0 and 23. Take the quotient 23 with the number 196 and the result is 222. Multiply the number with the number in the pair, which is 23 and 1.
The result is 23; the square root of 484 is 22.5.
What are the perfect square factors of 504?
The perfect square factors of 504 are 1, 4, 16, 64, 81, and 253. Perfect squares are integers that have an exact square root. This means that the factors of a perfect square must have an even number of factors and the square of the number must be an exact result.
In the case of 504, the exact square of its factors are 1 (1²), 4 (2²), 16 (4²), 64 (8²), 81 (9²), and 253 (15²). All of these numbers have an exact square root, which makes 504 a perfect square.
How do you tell if a number is a perfect square?
To determine if a number is a perfect square, you can use a few different methods. The most simple way is to take the square root of the number to see if it is an integer. For example, if the number is 36, you would take the square root of 36 to get 6; because 6 is an integer, that confirms that 36 is a perfect square.
Another method is to calculate the prime factorization of the number. If the prime factorization has twice as many factors as powers, it is a perfect square. For example, if the number is 36, its prime factorization is 2² x 3²; since there are two factors and four powers, it is a perfect square.
You can also use the square number theorem. To do this, you first find the number’s prime factorization, which in the case of 36 is 2² x 3². Then, take the odd prime power or the product of the differing odd prime powers and add 1 to it.
In this case, it would be 3 + 1 = 4. Finally, if the product of the original numbers equals the original number plus the result of the last step (36 + 4 = 40), then the number is a perfect square.
