Is 2124 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 2124 is composite or not first we have to find its factors.
Contents
Factors of 2124:
- If we have taken numbers from 1, 2, 3…for checking factors of 2124, we found that 2124 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062 and 2124. Hence, we must say that 2124 is a composite number.
- Thus, 2124 is the composite number.
- If we multiply 2124 by 1, 2, 3 then we get the multiples of 2124 which are 2124, 4248 and so on.
About the number 2124:
- 2124 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062 and 2124 and hence it is the composite number.
- 2124 is the even composite number and it is not the perfect square also.
- If we divide 2124 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062 and 2124 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062 and 2124 are the factors of 2124.
Note:
- 2124 is not the perfect square.
- Factors of 2124: 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062 and 2124
- Prime factors of 2124: 2, 3, 59
Conclusion:
- 2124 is the composite number which has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062 and 2124
- And hence, 2124 is not the prime number.
Multiple Choice Questions:
1) 2124 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2124 are
a) 2124
b) 2, 3, 59
c) 1, 4, 6, 9, 12, 18, 36, 118, 177, 236, 354, 531, 708, 1062 and 2124
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062 and 2124
Ans: c) 1, 4, 6, 9, 12, 18, 36, 118, 177, 236, 354, 531, 708, 1062 and 2124
3) 2124 is composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062 and 2124
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062 and 2124