Is 3612 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 3612 is composite or not first we have to find its factors.
Contents
Factors of 3612:
- If we have taken numbers from 1, 2, 3…for checking factors of 3612, we found that 3612 has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806 and 3612. Hence, we must say that 3612 is a composite number.
- Thus, 3612 is the composite number.
- If we multiply 3612 by 1, 2, 3 then we get the multiples of 3612 which are 3612, 7224 and so on.
About the number 3612:
- 3612 has more than two factors which are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806 and 3612 and hence it is the composite number.
- 3612 is the even composite number and it is not the perfect square also.
- If we divide 3612 by, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806 and 3612 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806 and 3612 are the factors of 3612.
Note:
- 3612 is not the perfect square.
- Factors of 3612: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806 and 3612
- Prime factors of 3612: 2, 3, 7, 43
Conclusion:
- 3612 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806 and 3612
- And hence, 3612 is not the prime number.
Multiple Choice Questions:
1) 3612 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 3612 are
a) 3612
b) 2, 3, 7, 43
c) 4, 6, 12, 14, 21, 28, 42, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806 and 3612
d) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806 and 3612
Ans: b) 2, 3, 7, 43
3) 3612 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806 and 3612
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all