## Is 16 a perfect square?

16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers)..

## IS 400 a perfect cube?

Since 2 & 5 do not occur in triplets. ∴ 400 is not a perfect cube.

## How do you find the perfect number?

A number is perfect if the sum of its proper factors is equal to the number. To find the proper factors of a number, write down all numbers that divide the number with the exception of the number itself. If the sum of the factors is equal to 18, then 18 is a perfect number.

## What are the first 5 perfect numbers?

The first few perfect numbers are 6, 28, 496 and 8128 (sequence A000396 in the OEIS).

## Is 14 a perfect number?

The next perfect number is 28 (its proper divisors are 1, 2, 4, 7, 14, which sum to 28). The next two perfect numbers are 496 and 8128. Beyond that the values get really huge. Only about 10 perfect numbers are known before 1900.

## IS 400 a perfect square?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 400 is 20. Therefore, the square root of 400 is an integer, and as a consequence 400 is a perfect square.

## Is 1000 a perfect cube?

∴ 1000 is a perfect cube. Grouping the prime factors into triples, we do not get any triples.

## IS 500 a perfect cube?

∴ 500 is not a perfect cube. … Thus, the smallest required number to multipkly 243 to make it a perfect cube is 3. (ii) We have 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2. Grouping the prime factors of 256 in triples, we are left over with 2 x 2.

## IS 392 a perfect cube?

If not, find the smallest natural number by which 392 must be multiplied so that the product is a perfect cube. The prime factor 7 does not appear in a group of three. Therefore, 392 is not a perfect cube. To make its a cube, we need one more 7.