Is 2260 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 2260 is composite or not first we have to find its factors.
Contents
Factors of 2260:
- If we have taken numbers from 1, 2, 3…for checking factors of 2260, we found that 2260 has factors 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130 and 2260. Hence, we must say that 2260 is a composite number.
- Thus, 2260 is the composite number.
- If we multiply 2260 by 1, 2, 3 then we get the multiples of 2260 which are 2260, 4520 and so on.
About the number 2260:
- 2260 has more than two factors which are 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130 and 2260 and hence it is the composite number.
- 2260 is the even composite number and it is not the perfect square also.
- If we divide 2260 by, 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130 and 2260 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130 and 2260 are the factors of 2260.
Note:
- 2260 is not the perfect square.
- Factors of 2260: 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130 and 2260
- Prime factors of 2260: 2, 5, 113
Conclusion:
- 2260 is the composite number which has factors 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130 and 2260
- And hence, 2260 is not the prime number.
Multiple Choice Questions:
1) 2260 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 2260 are
a) 2260
b) 2, 5, 113
c) 1, 4, 10, 20, 226, 452, 565, 1130 and 2260
d) 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130 and 2260
Ans: b) 2, 5, 113
3) 2260 is composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130 and 2260
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b