Is 2272 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 2272 is composite or not first we have to find its factors.
Contents
Factors of 2272:
- If we have taken numbers from 1, 2, 3…for checking factors of 2272, we found that 2272 has factors 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136 and 2272. Hence, we must say that 2272 is a composite number.
- Thus, 2272 is the composite number.
- If we multiply 2272 by 1, 2, 3 then we get the multiples of 2272 which are 2272, 4544 and so on.
About the number 2272:
- 2272 has more than two factors which are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136 and 2272 and hence it is the composite number.
- 2272 is the even composite number and it is not the perfect square also.
- If we divide 2272 by, 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136 and 2272 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136 and 2272 are the factors of 2272.
Note:
- 2272 is not the perfect square.
- Factors of 2272: 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136 and 2272
- Prime factors of 2272: 2, 71
Conclusion:
- 2272 is the composite number which has factors 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136 and 2272
- And hence, 2272 is not the prime number.
Multiple Choice Questions:
1) 2272 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 2272 are
a) 2272
b) 2, 71
c) 1, 4, 8, 16, 32, 142, 284, 568, 1136 and 2272
d) 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136 and 2272
Ans: b) 2, 71
3) 2272 is composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136 and 2272
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b