Is 3696 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 3696 is composite or not first we have to find its factors.
Factors of 3696:
- If we have taken numbers from 1, 2, 3…for checking factors of 3696, we found that 3696 has factors 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848 and 3696. Hence, we must say that 3696 is a composite number.
- Thus, 3696 is the composite number.
- If we multiply 3696 by 1, 2, 3 then we get the multiples of 3696 which are 3696, 7392 and so on.
About the number 3696:
- 3696 has more than two factors which are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848 and 3696 and hence it is the composite number.
- 3696 is the even composite number and it is not the perfect square also.
- If we divide 3696 by, 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848 and 3696 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848 and 3696 are the factors of 3696.
Note:
- 3696 is not the perfect square.
- Factors of 3696: 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848 and 3696
- Prime factors of 3696: 2, 3, 7, 11
Conclusion:
- 3696 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848 and 3696
- And hence, 3696 is not the prime number.
Multiple Choice Questions:
1) 3696 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3696 are
a) 3696
b) 2, 3, 7, 11
c) 4, 6, 8, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848 and 3696
d) 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848 and 3696
Ans: b) 2, 3, 7, 11
3) 3696 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848 and 3696
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all