Is 2442 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 2442 is composite or not first we have to find its factors.
Contents
Factors of 2442:
- If we have taken numbers from 1, 2, 3…for checking factors of 2442, we found that 2442 has factors 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221 and 2442. Hence, we must say that 2442 is a composite number.
- Thus, 2442 is the composite number.
- If we multiply 2442 by 1, 2, 3 then we get the multiples of 2442 which are 2442, 4884 and so on.
About the number 2442:
- 2442 has more than two factors which are 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221 and 2442 and hence it is the composite number.
- 2442 is the even composite number and it is not the perfect square also.
- If we divide 2442 by, 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221 and 2442 then we get remainder as zero. Hence, 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221 and 2442 are the factors of 2442.
Note:
- 2442 is not the perfect square.
- Factors of 2442: 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221 and 2442
- Prime factors of 2442: 2, 3, 11, 37
Conclusion:
- 2442 is the composite number which has factors 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221 and 2442
- And hence, 2442 is not the prime number.
Multiple Choice Questions:
1) 2442 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 2442 are
a) 2442
b) 2, 3, 11, 37
c) 1, 6, 22, 33, 66, 74, 111, 222, 407, 814, 1221 and 2442
d) 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221 and 2442
Ans: b) 2, 3, 11, 37
3) 2442 is composite number because
a) It has factors 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221 and 2442
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b