Is 3348 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 3348 is composite or not first we have to find its factors.
Factors of 3348:
- If we have taken numbers from 1, 2, 3…for checking factors of 3348, we found that 3348 has factors 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674 and 3348. Hence, we must say that 3348 is a composite number.
- Thus, 3348 is the composite number.
- If we multiply 3348 by 1, 2, 3 then we get the multiples of 3348 which are 3348, 6696 and so on.
About the number 3348:
- 3348 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674 and 3348 and hence it is the composite number.
- 3348 is the even composite number and it is not the perfect square also.
- If we divide 3348 by, 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674 and 3348 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674 and 3348 are the factors of 3348.
Note:
- 3348 is not the perfect square.
- Factors of 3348: 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674 and 3348
- Prime factors of 3348: 2, 3, 31
Conclusion:
- 3348 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674 and 3348
- And hence, 3348 is not the prime number.
Multiple Choice Questions:
1) 3348 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 3348 are
a) 3348
b) 2, 3, 31
c) 4, 6, 9, 12, 18, 27, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674 and 3348
d) 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674 and 3348
Ans: b) 2, 3, 31
3) 3348 is composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674 and 3348
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674 and 3348