Is 3248 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 3248 is composite or not first we have to find its factors.
Contents
Factors of 3248:
- If we have taken numbers from 1, 2, 3…for checking factors of 3248, we found that 3248 has factors 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624 and 3248. Hence, we must say that 3248 is a composite number.
- Thus, 3248 is the composite number.
- If we multiply 3248 by 1, 2, 3 then we get the multiples of 3248 which are 3248, 6496 and so on.
About the number 3248:
- 3248 has more than two factors which are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624 and 3248 and hence it is the composite number.
- 3248 is the even composite number and it is not the perfect square also.
- If we divide 3248 by, 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624 and 3248 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624 and 3248 are the factors of 3248.
Note:
- 3248 is not the perfect square.
- Factors of 3248: 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624 and 3248
- Prime factors of 3248: 2, 7, 29
Conclusion:
- 3248 is the composite number which has factors, 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624 and 3248
- And hence, 3248 is not the prime number.
Multiple Choice Questions:
1) 3248 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 3248 are
a) 3248
b) 2, 7, 29
c) 4, 8, 14, 16, 28, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624 and 3248
d) 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624 and 3248
Ans: b) 2, 7, 29
3) 3248 is composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624 and 3248
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624 and 3248