Is 3332 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 3332 is composite or not first we have to find its factors.
Contents
Factors of 3332:
- If we have taken numbers from 1, 2, 3…for checking factors of 3332, we found that 3332 has factors 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666 and 3332. Hence, we must say that 3332 is a composite number.
- Thus, 3332 is the composite number.
- If we multiply 3332 by 1, 2, 3 then we get the multiples of 3332 which are 3332, 6664 and so on.
About the number 3332:
- 3332 has more than two factors which are 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666 and 3332 and hence it is the composite number.
- 3332 is the even composite number and it is not the perfect square also.
- If we divide 3332 by, 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666 and 3332 then we get remainder as zero. Hence, 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666 and 3332 are the factors of 3332.
Note:
- 3332 is not the perfect square.
- Factors of 3332: 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666 and 3332
- Prime factors of 3332: 2, 7, 17
Conclusion:
- 3332 is the composite number which has factors, 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666 and 3332
- And hence, 3332 is not the prime number.
Multiple Choice Questions:
1) 3332 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 3332 are
a) 3332
b) 2, 7, 17
c) 4, 14, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666 and 3332
d) 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666 and 3332
Ans: b) 2, 7, 17
3) 3332 is composite number because
a) It has factors 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666 and 3332
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666 and 3332