Is Zero Even or Odd Number?

Answer: Zero is an even number because it is an integral multiple of 2. When 0 is divided by 2, the resulting quotient is also 0, which is an integer. This makes it an even number.

Let’s understand why zero is an even number in some detail.

Is 0 Even or Odd Number

Yes, Zero is an even number because the parity of Zero is Even. Any number that when divided by 2 leaves 0 as the remainder is considered an even number. Now, zero when divided by 2 leaves 0 as the remainder, and hence it is considered an even number.

• Also, this can be proven as zero is an integral multiple of 2 and hence is an even number.
• 0 is not an odd number.

Now, let’s learn in brief about what are even numbers and some other facts about zeros

What are Even Numbers?

Even numbers are the numbers that are divisible by 2 and leaves no reminde. 2, 4, 6,8, 10 …. all are even numbers.

Some important facts about an even number:

• Addition of two even numbers will be even.
• Multiplication of two even numbers will be even.
• Subtraction of an even number from another even number will be even.
• Division of one even number by another even number can be odd or even.

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• Even Number

Why is Zero Even Number?

When zero is divided by 2 it returns the reminder as 0. This is the condition of an even number in contrary an odd number on division with 2 always lives reminder as 1. Hence zero is known among the even numbers.

• 8 divided by 2 —> dividend = 4 and reminder = 0

• 6 divided by 2 —> dividend = 3 and reminder = 0
• 4 divided by 2 —> dividend = 2 and reminder = 0
• 2 divided by 2 —> dividend = 1 and reminder = 0

Also,

• 0 divided by 2 —> dividend = 0 and reminder = 0

Thus, zero is an even number.

Who Invented Zero

In mathematics zero is used from ancient times. The earlier mention of zero was from an astronomer named Aryabhata in 5th century AD. He used zero and worked with it in his studies. After Aryabhata in 7th century Brahmagupta defined some rules of zero. So, zero was introduced in India in ancient times.

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• Who Invented Zero?

History of Zero

Let’s discuss the historical significance of zero.

• The concept of zero as a number first appeared in ancient civilizations like the Sumerians and Babylonians.

• The modern concept of zero was invented in India by mathematicians around the 5th century. The Indian scholar Brahmagupta was among the first to formalize rules using zero in 628 AD.

• It was introduced to the Arab world in the 8th century through translations of Indian texts. The Persian mathematician Al-Khwarizmi further developed the concept.

• It reached Europe in the 12th century through translations of Arabic texts. It significantly influenced mathematics in the Western world.

• It has been useful in the development of the decimal system.

• It helped in the development of modern science and technology.

• It symbolizes the concept of void or nothingness in various cultures.

• Zero plays a critical role in various mathematical theories and principles, such as limits, algebra, and calculus.

• It helped in the development of calculus too.

Is Zero Even or Odd- FAQs

1. Is Zero Even or Odd number?

Zero(0) is considered to be even because it is an integral multiple of 2.

2. Is Zero an Integer?

Yes, zero is an integer. Zero is considered an integer because it is a whole number that does not have a fractional or decimal component.

3. Is zero an Irrational Number?

No, zero is not an irrational number. As it can be expressed as 0/1.

4. Is Zero a Perfect Square?

Yes, zero is a perfect square. A perfect square is a number that can be expressed as the square of an integer. Zero meets this definition because it is the square of zero itself (0 × 0 = 0).

5. Is Zero a Natural Number?

No, zero is not a natural number. Natural numbers are the set of positive integers starting from 1 (i.e., 1, 2, 3, 4, …). This set does not include zero.

6. Is Zero a Whole Number?

Yes, zero is considered a whole number. The set of whole numbers includes all natural numbers (positive integers) along with zero.

7. How did Zero get Named?

Zero was called ‘Sunya’ in India, it was called ‘Sifr’ in the middle east, when it reached Italy, it was named ‘Zefero’ and later in English, it was called ‘Zero’.

8. Is zero a Rational Number?

Yes, zero is a rational number. A rational number is any number that can be expressed as a fraction of two integers, p/q , where p and q are integers and q is not zero. Zero fits this definition because it can be expressed as a fraction where the numerator is zero and the denominator is any non-zero integer.

9. Is zero Positive or Negative?

Zero is neither positive nor negative. Zero is considered a neutral number.

10. Is zero a Real Number?

Yes, zero is a real number. The set of real numbers includes all the rational numbers (like integers, fractions) and irrational number. Zero is a rational number, as it can be expressed as a fraction, and therefore it is also a real number.

11. Is Zero Prime?

No, zero is not a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Zero does not meet these criteria for several reasons:

1. Zero is not greater than 1.
2. Zero has an infinite number of divisors (any non-zero number can divide zero).