Is 1254 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 1254 is composite or not first we have to find its factors.
Contents
Factors of 1254:
- If we have taken numbers from 1, 2, 3…for checking factors of 1254, we found that 1254 has factors 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254. Hence, we must say that 1254 is a composite number.
- Thus, 1254 is the composite number.
- If we multiply 1254 by 1, 2, 3 then we get the multiples of 1254 which are 1254, 2508 and so on.
About the number 1254:
- 1254 has more than two factors which are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254 and hence it is the composite number.
- 1254 is the even composite number and it is not the perfect square also.
- If we divide 1254 by 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254 then we get remainder as zero. Hence, 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254 are the factors of 1254.
Note:
- 1254 is not the perfect square.
- Factors of 1254: 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254
- Prime factors of 1254: 2, 3, 11, 19
Conclusion:
- 1254 is the composite number which has factors 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254
- And hence, 1254 is not the prime number.
Multiple Choice Questions:
1) 1254 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 1254 are
a) 6, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254
b) 2, 3, 11, 19
c) 1, 6, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254
d) 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254
Ans: a) 6, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254
3) 1254 is composite number because
a) It has factors 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627 and 1254
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b