Is 4272 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 4272 is composite or not first we have to find its factors.
Contents
Factors of 4272:
- If we have taken numbers from 1, 2, 3…for checking factors of 4272 we found that 4272 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136 and 4272. Hence, we must say that 4272 is a composite number.
- Thus, 4272 is the composite number.
- If we multiply 4272 by 1, 2, 3 then we get the multiples of 4272 which are 4272, 8544 and so on.
About the number 4272:
- 4272 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136 and 4272 and hence it is the composite number.
- 4272 is the even composite number and it is not the perfect square also.
- If we divide 4272 by, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136 and 4272 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136 and 4272 are the factors of 4272.
Note:
- 4272 is not the perfect square.
- Factors of 4272: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136 and 4272
- Prime factors of 4272: 2, 3, 89
Conclusion:
- 4272 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136 and 4272
- And hence, 4272 is not the prime number.
Multiple Choice Questions:
1) 4272 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4272 are
a) 4272
b) 2, 3, 89
c) 4, 6, 8, 12, 16, 24, 48, 178, 267, 356, 534, 712, 1068, 1424, 2136 and 4272
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136 and 4272
Ans: c) 4, 6, 8, 12, 16, 24, 48, 178, 267, 356, 534, 712, 1068, 1424, 2136 and 4272
3) 4272 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136 and 4272
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b