Is 2262 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 2262 is composite or not first we have to find its factors.
Contents
Factors of 2262:
- If we have taken numbers from 1, 2, 3…for checking factors of 2262, we found that 2262 has factors 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131 and 2262. Hence, we must say that 2262 is a composite number.
- Thus, 2262 is the composite number.
- If we multiply 2262 by 1, 2, 3 then we get the multiples of 2262 which are 2262, 4524 and so on.
About the number 2262:
- 2262 has more than two factors which are 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131 and 2262 and hence it is the composite number.
- 2262 is the even composite number and it is not the perfect square also.
- If we divide 2262 by, 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131 and 2262 then we get remainder as zero. Hence, 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131 and 2262 are the factors of 2262.
Note:
- 2262 is not the perfect square.
- Factors of 2262: 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131 and 2262
- Prime factors of 2262: 2, 3, 13, 29
Conclusion:
- 2262 is the composite number which has factors 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131 and 2262
- And hence, 2262 is not the prime number.
Multiple Choice Questions:
1) 2262 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 2262 are
a) 2262
b) 2, 3, 13, 29
c) 1, 6, 26, 39, 58, 78, 87, 174, 377, 754, 1131 and 2262
d) 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131 and 2262
Ans: b) 2, 3, 13, 29
3) 2262 is composite number because
a) It has factors 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131 and 2262
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b