Is 1428 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 1428 is composite or not first we have to find its factors.
Factors of 1428:
- If we have taken numbers from 1, 2, 3…for checking factors of 1428, we found that 1428 has factors 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428. Hence, we must say that 1428 is a composite number.
- Thus, 1428 is the composite number.
- If we multiply 1428 by 1, 2, 3 then we get the multiples of 1428 which are 1428, 2856 and so on.
About the number 1428:
- 1428 has more than two factors which are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428 and hence it is the composite number.
- 1428 is the even composite number and it is not the perfect square also.
- If we divide 1428 by 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428 are the factors of 1428.
Note:
- 1428 is not the perfect square.
- Factors of 1428: 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428
- Prime factors of 1428: 2, 3, 7, 17
Conclusion:
- 1428 is the composite number which has factors 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428
- And hence, 1428 is not the prime number.
Multiple Choice Questions:
1) 1428 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 1428 are
a) 4, 6, 12, 14, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428
b) 2, 3, 7, 17
c) 1, 4, 6, 12, 14, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428
d) 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428
Ans: a) 4, 6, 12, 14, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428
3) 1428 is composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b