Is 4256 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 4256 is composite or not first we have to find its factors.
Contents
Factors of 4256:
- If we have taken numbers from 1, 2, 3…for checking factors of 4256 we found that 4256 has factors 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128 and 4256. Hence, we must say that 4256 is a composite number.
- Thus, 4256 is the composite number.
- If we multiply 4256 by 1, 2, 3 then we get the multiples of 4256 which are 4256, 8512 and so on.
About the number 4256:
- 4256 has more than two factors which are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128 and 4256 and hence it is the composite number.
- 4256 is the even composite number and it is not the perfect square also.
- If we divide 4256 by, 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128 and 4256 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128 and 4256 are the factors of 4256.
Note:
- 4256 is not the perfect square.
- Factors of 4256: 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128 and 4256
- Prime factors of 4256: 2, 7, 19
Conclusion:
- 4256 is the composite number which has factors, 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128 and 4256
- And hence, 4256 is not the prime number.
Multiple Choice Questions:
1) 4256 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 4256 are
a) 4256
b) 2, 7, 19
c) 4, 8, 14, 16, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128 and 4256
d) 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128 and 4256
Ans: c) 4, 8, 14, 16, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128 and 4256
3) 4256 is composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 16, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128 and 4256
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b