Is 3312 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 3312 is composite or not first we have to find its factors.
Factors of 3312:
- If we have taken numbers from 1, 2, 3…for checking factors of 3312, we found that 3312 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656 and 3312. Hence, we must say that 3312 is a composite number.
- Thus, 3312 is the composite number.
- If we multiply 3312 by 1, 2, 3 then we get the multiples of 3312 which are 3312, 6624 and so on.
About the number 3312:
- 3312 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656 and 3312 and hence it is the composite number.
- 3312 is the even composite number and it is not the perfect square also.
- If we divide 3312 by, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656 and 3312 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656 and 3312 are the factors of 3312.
Note:
- 3312 is not the perfect square.
- Factors of 3312: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656 and 3312
- Prime factors of 3312: 2, 3, 23
Conclusion:
- 3312 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656 and 3312
- And hence, 3312 is not the prime number.
Multiple Choice Questions:
1) 3312 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 3312 are
a) 3312
b) 2, 3, 23
c) 4, 6, 8, 9, 12, 16, 18, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656 and 3312
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656 and 3312
Ans: b) 2, 3, 23
3) 3312 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656 and 3312
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, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656 and 3312