Is 3536 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 3536 is composite or not first we have to find its factors.
Contents
Factors of 3536:
- If we have taken numbers from 1, 2, 3…for checking factors of 3536, we found that 3536 has factors 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768 and 3536. Hence, we must say that 3536 is a composite number.
- Thus, 3536 is the composite number.
- If we multiply 3536 by 1, 2, 3 then we get the multiples of 3536 which are 3536, 7072 and so on.
About the number 3536:
- 3536 has more than two factors which are 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768 and 3536 and hence it is the composite number.
- 3536 is the even composite number and it is not the perfect square also.
- If we divide 3536 by, 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768 and 3536 then we get remainder as zero. Hence, 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768 and 3536 are the factors of 3536.
Note:
- 3536 is not the perfect square.
- Factors of 3536: 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768 and 3536
- Prime factors of 3536: 2, 13, 17
Conclusion:
- 3536 is the composite number which has factors, 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768 and 3536
- And hence, 3536 is not the prime number.
Multiple Choice Questions:
1) 3536 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 3536 are
a) 3536
b) 2, 13, 17
c) 4, 8, 16, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768 and 3536
d) 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768 and 3536
Ans: b) 2, 13, 17
3) 3536 is even composite number because
a) It has factors 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768 and 3536
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all