Is 3672 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 3672 is composite or not first we have to find its factors.
Contents
Factors of 3672:
- If we have taken numbers from 1, 2, 3…for checking factors of 3672, we found that 3672 has factors 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836 and 3672. Hence, we must say that 3672 is a composite number.
- Thus, 3672 is the composite number.
- If we multiply 3672 by 1, 2, 3 then we get the multiples of 3672 which are 3672, 7344 and so on.
About the number 3672:
- 3672 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836 and 3672 and hence it is the composite number.
- 3672 is the even composite number and it is not the perfect square also.
- If we divide 3672 by, 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836 and 3672 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836 and 3672 are the factors of 3672.
Note:
- 3672 is not the perfect square.
- Factors of 3672: 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836 and 3672
- Prime factors of 3672: 2, 3, 17
Conclusion:
- 3672 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836 and 3672
- And hence, 3672 is not the prime number.
Multiple Choice Questions:
1) 3672 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 3672 are
a) 3672
b) 2, 3, 17
c) 4, 6, 8, 9, 12, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836 and 3672
d) 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836 and 3672
Ans: b) 2, 3, 17
3) 3672 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836 and 3672
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all