101 is a prime number or not?
For a number to be classified as a prime number, it has to have exactly two factors. To understand whether 101 is a prime or a composite number, it is important to find its factors. The answer to whether 101 is a prime number is: “yes, 101 is a prime number”.
Lesson Highlights:
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Is 101 a prime number? |
Yes, 101 is a prime number. |
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What are the factors of 101 |
Factors of 101 are 1 and 101. |
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Why 101 is a prime number? |
101 is prime since it has only 2 factors i.e. 1 and 101 itself. |
Why 101 is a Prime Number?
101 is a prime number since it has only two factors i.e. 1 and 101 itself. Since it has exactly two factors, it satisfies the definition of prime numbers. To recall, a prime number is a positive whole number which has exactly two factors or divisors.
Check for Yourself: Prime Numbers Calculator
How to Confirm 101 is Prime or Not?
To check whether 101 is prime or not, the steps mentioned in how to find prime numbers have to be followed. For 101, follow the following steps to determine why is it a prime number.
- Step 1: Check whether the units digit is either 0, 2, 4, 6 and 8. In this case, it is not.
- Step 2: Check is the sum of digits in 101 are divisible by 3. Here, 1+0+1=2 which is not divisible by 3
- Step 3: Take the square root of 101 which is √101 = 10.04
- Step 4: Check the divisibility of 101 with numbers below 10.
There are no numbers below 10 which divide 101 perfectly and hence, it can be classified as a prime number.
Another way of finding whether a number is prime or not is by factorization. By knowing the factors of a number, it can be easily determined whether a number is prime or not. For 101, there are only two factors which are 1 and itself.
How Can 101 be Classified?
Among the various classification of numbers, some of the categories in which 101 can be classified are:
- A positive integer
- A natural number
- A whole number
- A prime number
- An odd number
- A rational number
Also Check: How to Find Prime Numbers
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