Is 261 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 261 is composite or not first we have to find its factors.
Contents
Factors of 261:
- If we have taken numbers from 1, 2, 3…for checking factors of 261, we found that 261 has factors 1, 3, 9, 29, 87 and 261. Hence, we must say that 261 is a composite number.
- Thus, 261 is the composite number.
- If we multiply 261 by 1, 2, 3 then we get the multiples of 261 which are 261, 522, and so on.
261 is a Composite number or Prime number
About the number 261:
- 261 has more than two factors which are 1, 3, 9, 29, 87 and 261 and hence it is the composite number.
- 261 is the odd composite number and it is not the perfect square also.
- If we divide 261 by 1, 3, 9, 29, 87 and 261 then we get remainder as zero. Hence, 1, 3, 9, 29, 87 and 261 are the factors of 261.
Note:
- 261 is not the perfect square.
- Factors of 261: 1, 3, 9, 29, 87 and 261
- Prime factors of 261: 3, 29
Conclusion:
- 261 is the composite number which has factors 1, 3, 9, 29, 87 and 261.
- And hence, 261 is not the prime number.
Multiple Choice Questions:
1) 261 is a
a) odd 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 261 are
a) 1
b) 3, 29
c) 1, 9, 87 and 261
d) 1, 3, 9, 29, 87 and 261
Ans: b) 3, 29
3) 261 is the odd composite number because
a) It has factors 1, 3, 9, 29, 87 and 261
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c