Is 113 is a prime number or not ?
- As we already know that, the number having factors 1 and the number itself is the prime number.
- And numbers having more than these two factors are the composite numbers.
- To check whether the number 113 is prime or not first we have to find its factors.
Contents
Factors of 113:
- If we have taken numbers from 1, 2, 3…for checking factors of 113, we found that 113 has factors 1 and the number 113 itself. Hence, we must say that 113 is a prime number.
- Thus, 113 is the prime number.
- Here, 113 is the odd prime number.
- If we multiply 113 by 1, 2, 3, then we get the multiples of 113 which are 113, 226, 339…and so on.
About the number 113:
- 113 has only two factors which are 1 and the number itself and hence 113 is the prime number.
- 113is the odd prime number and it is not the perfect square also.
- If we divide 113 by 1 and the number itself then we get remainder as zero. Hence, 1 and 113 are the factors of 113.
Note:
- 113 is not the perfect square.
- Factors of 113: 1 and 113
- Prime factors of 113: 113 (since, 113 is the only one prime number which is the factor of 113.)
Conclusion:
- 113 is the prime number which has factors 1 and 113.
- And hence, 113 is the prime number.
Multiple Choice Questions:
1) 113 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and b
Ans: d) both a and b
2) The prime factors of a prime number 113 are
a) 1
b) 113
c) Both a and b
d) 0
Ans: b) 113
3) 1 is the not prime factor of 113 because
a) It is the prime number
b) 1 is neither prime nor composite number
c) Both a and b
d) Given statement is false
Ans: b) 1 is neither prime nor composite number