Is 2466 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 2466 is composite or not first we have to find its factors.
Contents
Factors of 2466:
- If we have taken numbers from 1, 2, 3…for checking factors of 2466, we found that 2466 has factors 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233 and 2466. Hence, we must say that 2466 is a composite number.
- Thus, 2466 is the composite number.
- If we multiply 2466 by 1, 2, 3 then we get the multiples of 2466 which are 2466, 4932 and so on.
About the number 2466:
- 2466 has more than two factors which are 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233 and 2466 and hence it is the composite number.
- 2466 is the even composite number and it is not the perfect square also.
- If we divide 2466 by, 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233 and 2466 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233 and 2466 are the factors of 2466.
Note:
- 2466 is not the perfect square.
- Factors of 2466: 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233 and 2466
- Prime factors of 2466: 2, 3, 137
Conclusion:
- 2466 is the composite number which has factors 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233 and 2466
- And hence, 2466 is not the prime number.
Multiple Choice Questions:
1) 2466 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2466 are
a) 2466
b) 2, 3, 137
c) 1, 6, 9, 18, 274, 411, 822, 1233 and 2466
d) 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233 and 2466
Ans: b) 2, 3, 137
3) 2466 is composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233 and 2466
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b