Is 1242 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 1242 is composite or not first we have to find its factors.
Contents
Factors of 1242:
- If we have taken numbers from 1, 2, 3…for checking factors of 1242, we found that 1242 has factors 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621 and 1242. Hence, we must say that 1242 is a composite number.
- Thus, 1242 is the composite number.
- If we multiply 1242 by 1, 2, 3 then we get the multiples of 1242 which are 1242, 2484 and so on.
About the number 1242:
- 1242 has more than two factors which are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621 and 1242 and hence it is the composite number.
- 1242 is the even composite number and it is not the perfect square also.
- If we divide 1242 by 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621 and 1242 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621 and 1242 are the factors of 1242.
Note:
- 1242 is not the perfect square.
- Factors of 1242: 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621 and 1242
- Prime factors of 1242: 2, 3, 23
Conclusion:
- 1242 is the composite number which has factors 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621 and 1242
- And hence, 1242 is not the prime number.
Multiple Choice Questions:
1) 1242 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1242 are
a) 6, 9, 18, 27, 46, 54, 69, 138, 207, 414, 621 and 1242
b) 2, 3, 23
c) 1, 6, 9, 18, 27, 46, 54, 69, 138, 207, 414, 621 and 1242
d) 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621 and 1242
Ans: a) 6, 9, 18, 27, 46, 54, 69, 138, 207, 414, 621 and 1242
3) 1242 is composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621 and 1242
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b