Is 2236 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 2236 is composite or not first we have to find its factors.
Contents
Factors of 2236:
- If we have taken numbers from 1, 2, 3…for checking factors of 2236, we found that 2236 has factors 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118 and 2236. Hence, we must say that 2236 is a composite number.
- Thus, 2236 is the composite number.
- If we multiply 2236 by 1, 2, 3 then we get the multiples of 2236 which are 2236, 4472 and so on.
About the number 2236:
- 2236 has more than two factors which are 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118 and 2236 and hence it is the composite number.
- 2236 is the even composite number and it is not the perfect square also.
- If we divide 2236 by, 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118 and 2236 then we get remainder as zero. Hence, 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118 and 2236 are the factors of 2236.
Note:
- 2236 is not the perfect square.
- Factors of 2236: 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118 and 2236
- Prime factors of 2236: 2, 13, 43
Conclusion:
- 2236 is the composite number which has factors 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118 and 2236
- And hence, 2236 is not the prime number.
Multiple Choice Questions:
1) 2236 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2236 are
a) 2236
b) 2, 13, 43
c) 1, 4, 26, 52, 86, 172, 559, 1118 and 2236
d) 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118 and 2236
Ans: b) 2, 13, 43
3) 2236 is composite number because
a) It has factors 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118 and 2236
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b