Is 4662 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 4662 is composite or not first we have to find its factors.
Contents
Factors of 4662:
- If we have taken numbers from 1, 2, 3…for checking factors of 4662 we found that 4662 has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331 and 4662. Hence, we must say that 4662 is a composite number.
- Thus, 4662 is the composite number.
- If we multiply 4662 by 1, 2, 3 then we get the multiples of 4662 which are 4662, 9324 and so on.
About the number 4662:
- 4662 has more than two factors which are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331 and 4662 and hence it is the composite number.
- 4662 is the even composite number and it is not the perfect square also.
- If we divide 4662 by, 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331 and 4662 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331 and 4662 are the factors of 4662.
Note:
- 4662 is not the perfect square.
- Factors of 4662: 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331 and 4662
- Prime factors of 4662: 2, 3, 7, 37
Conclusion:
- 4662 is the composite number which has factors, 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331 and 4662
- And hence, 4662 is not the prime number.
Multiple Choice Questions:
1) 4662 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 4662 are
a) 4662
b) 2, 3, 7, 37
c) 6, 9, 14, 18, 21, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331 and 4662
d) 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331 and 4662
Ans: b) 2, 3, 7, 37
3) 4662 is even composite number because
a) It has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331 and 4662
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all