Is 1248 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 1248 is composite or not first we have to find its factors.
Factors of 1248:
- If we have taken numbers from 1, 2, 3…for checking factors of 1248, we found that 1248 has factors 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248. Hence, we must say that 1248 is a composite number.
- Thus, 1248 is the composite number.
- If we multiply 1248 by 1, 2, 3 then we get the multiples of 1248 which are 1248, 2496 and so on.
About the number 1248:
- 1248 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248 and hence it is the composite number.
- 1248 is the even composite number and it is not the perfect square also.
- If we divide 1248 by 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248 are the factors of 1248.
Note:
- 1248 is not the perfect square.
- Factors of 1248: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248
- Prime factors of 1248: 2, 3, 13
Conclusion:
- 1248 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248
- And hence, 1248 is not the prime number.
Multiple Choice Questions:
1) 1248 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 1248 are
a) 4, 6, 8, 12, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248
b) 2, 3, 13
c) 1, 4, 6, 8, 12, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248
d) 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248
Ans: a) 4, 6, 8, 12, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248
3) 1248 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b