Question

Can 2498 be a perfect square number?give reason

Answer 1

Answer:

Step-by-step explanation:

NO it cannot. in order for 2498 to be a perfect square then every prime factor should have an even power. but 2498 is only divisible by 2. thus 2498 is not a perfect square .

examples of perfect square

36 = (2^2)*(3^2)

100 = (2^2)*(5^2)

Answer 2

Answer:

No, 2498 cannot be a perfect square number.

Step-by-step explanation:

A perfect square number is a natural number that can be expressed as the product of two equal natural numbers. For example, 25 is a perfect square number because it can be written as 5 x 5. To check if a number is a perfect square number, we can use the following method:

1. Find the prime factorization of the number. For example, 2498 = 2 x 1249 = 2 x 29 x 43.
2. Group the prime factors into pairs. For example, 2498 = (2) x (29) x (43).
3. If there is any prime factor that does not have a pair, then the number is not a perfect square number. For example, 2498 has three unpaired prime factors: 2, 29 and 43.

Therefore, 2498 is not a perfect square number because it has unpaired prime factors. The closest perfect square numbers to 2498 are 2500 (50 x 50) and 2401 (49 x 49).

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