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Is 61 a Prime Number?

Is 61 a prime number? How do you know that 61 is prime or composite? Let us first understand what makes a number 'prime'. If a number has only 2 factors (1 and the number itself), then it is a prime number. If the number has more than 2 factors, then it is composite. Now, what do you think of 61? Is 61 a prime number? "Yes, 61 is a prime number." Since 61 has only 2 factors i.e. 1 and 61, it is a prime number. Let's study this in detail.

Is 61 a prime number? - Yes
Is 61 a composite number? - No
Prime Factors of 61 - 61
Is 61 a perfect square? - No
Factors of 61 - 1, 61

Yes, 61 is a prime number. The number 61 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 61 has exactly two factors, i.e. 1 and 61, it is a prime number.

Is 61 a Prime or Composite?

How is 61 a Prime Number?

To understand whether 61 is composite or prime, it is important to find its factors.

Factors of 61: 1, 61

Therefore, we can say that 61 is a prime number since it has only 2 factors.

☛ Prime Number Calculator

Is 61 a Composite Number?

No, since 61 has only two factors, i.e. 1 and 61. In other words, 61 is not a composite number because 61 doesn’t have more than 2 factors.

Problem Statements:

Is 61 a Prime Number?	Yes
Is 61 a Composite Number?	No
Is 61 a Perfect Cube?	No
Is 61 a Perfect Square?	No
Is 61 an Even Number?	No
Square Root of 61	7.810250
Cube Root of 61	3.936492
Multiples of 61	61, 122, 183, 244, 305, 366, 427, 488, 549, 610
Is 61 an Odd Number?	Yes

Fun Facts:

A pair of prime numbers X and Y are said to be twin prime numbers if the absolute difference between them is 2. Example - (107, 109) are twin prime numbers.
A perfect square (square number) is always a composite number.
23 is the smallest prime number having consecutive digits.

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