If a number has odd number of zeros at the end, the square of that number will always be
A. Even
B. Odd
C. Prime
D. Composite
Answer
602.7k+ views
Hint: A number is called an even number if it is divisible by 2. And a number is called a prime number if it is not divisible by any number, other than 1 and itself.
Complete step-by-step answer:
Since, the number has zeros at the end of it, the square of the number will also have zeros at the end of it.
Since, every number that has a zero at the end is divisible by 2. And any number that is divisible by 2 is an even number.
Therefore, option (A) Even, is correct.
Since, every even number can be divisible by 2, it can be written as multiples of prime factors. Therefore, the given number must be a composite number.
Therefore, option (D) Composite, is correct.
Therefore, from the above explanation, the correct options are option (A) Even and option (D) Composite
So, the correct answer is “Option A AND D”.
Note: When we take a square of any number, that number is multiplied to itself.
So, if a number has an $n$ number of zeros. Then the square of that number will have a $2n$ number of zeros.
Complete step-by-step answer:
Since, the number has zeros at the end of it, the square of the number will also have zeros at the end of it.
Since, every number that has a zero at the end is divisible by 2. And any number that is divisible by 2 is an even number.
Therefore, option (A) Even, is correct.
Since, every even number can be divisible by 2, it can be written as multiples of prime factors. Therefore, the given number must be a composite number.
Therefore, option (D) Composite, is correct.
Therefore, from the above explanation, the correct options are option (A) Even and option (D) Composite
So, the correct answer is “Option A AND D”.
Note: When we take a square of any number, that number is multiplied to itself.
So, if a number has an $n$ number of zeros. Then the square of that number will have a $2n$ number of zeros.
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