Is 1224 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 1224 is composite or not first we have to find its factors.
Factors of 1224:
- If we have taken numbers from 1, 2, 3…for checking factors of 1224, we found that 1224 has factors 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224. Hence, we must say that 1224 is a composite number.
- Thus, 1224 is the composite number.
- If we multiply 1224 by 1, 2, 3 then we get the multiples of 1224 which are 1224, 2448 and so on.
About the number 1224:
- 1224 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224 and hence it is the composite number.
- 1224 is the even composite number and it is not the perfect square also.
- If we divide 1224 by 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224 are the factors of 1224.
Note:
- 1224 is not the perfect square.
- Factors of 1224: 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224
- Prime factors of 1224: 2, 3, 17
Conclusion:
- 1224 is the composite number which has factors1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224
- And hence, 1224 is not the prime number.
Multiple Choice Questions:
1) 1224 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 1224 are
a) 4, 6, 8, 9, 12, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224
b) 2, 3, 17
c) 1, 4, 6, 8, 9, 12, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224
d) 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224
Ans: a) 4, 6, 8, 9, 12, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224
3) 1224 is composite number because
a) It has factors1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612 and 1224
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b