Is 26 is a composite 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 26 is composite or not first we have to find its factors.
Contents
Factors of 26:
- If we have taken numbers from 1, 2, 3…for checking factors of 26, we found that 26 has factors 1, 2, 13 and 26. Hence, we must say that 26 is a composite number.
- Thus, 26 is the composite number.
- If we multiply 26 by 1, 2, 3, then we get the multiples of 26 which are 26, 52, and so on.
About the number 26:
- 26 has more than two factors which are 1, 2, 13 and 26 and hence it is the composite number.
- 26 is the even composite number and it is not the perfect square also.
- If we divide 26 by 1, 2, 13 and 26 then we get remainder as zero. Hence, 1, 2, 13 and 26 are the factors of 26.
Note:
- 26 is not the perfect square.
- Factors of 26: 1, 2, 13, 26
- Prime factors of 26: 2 and 13
Conclusion:
- 26 is the composite number which has factors 1, 2, 13 and 26.
- And hence, 26 is not the prime number.
Multiple Choice Questions:
1) 26 is a
a) even number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 26 are
a) 1
b) 2 and 13
c) Both a and b
d) 261
Ans: b)2 and 13
3) 1 is the not prime factor of 26 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