Is 2261 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 2261 is composite or not first we have to find its factors.
Contents
Factors of 2261:
- If we have taken numbers from 1, 2, 3…for checking factors of 2261, we found that 2261 has factors 1, 7, 17, 19, 119, 133, 323 and 2261. Hence, we must say that 2261 is a composite number.
- Thus, 2261 is the composite number.
- If we multiply 2261 by 1, 2, 3 then we get the multiples of 2261 which are 2261, 4522 and so on.
2261 is a Composite number or Prime number
About the number 2261:
- 2261 has more than two factors which are 1, 7, 17, 19, 119, 133, 323 and 2261 and hence it is the composite number.
- 2261 is the odd composite number and it is not the perfect square also.
- If we divide 2261 by 1, 7, 17, 19, 119, 133, 323 and 2261 then we get remainder as zero. Hence, 1, 7, 17, 19, 119, 133, 323 and 2261 are the factors of 2261
Note:
- 2261 is not the perfect square.
- Factors of 2261: 1, 7, 17, 19, 119, 133, 323 and 2261
- Prime factors of 2261: 7, 17, 19
Conclusion:
- 2261 is the composite number which has factors 1, 7, 17, 19, 119, 133, 323 and 2261.
- And hence, 2261 is not the prime number.
Multiple Choice Questions:
1) 2261 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 2261 are
a) 1
b) 7, 17, 19
c) 1 and 2261
d) 1, 7, 17, 19, 119, 133, 323 and 2261
Ans: b) 7, 17, 19
3) 2261 is the composite number because
a) It has factors 1, 7, 17, 19, 119, 133, 323 and 2261
b) It has more than two factors
c) It is not divisible by 2
d) Both a and b
Ans: d) both a and b