Is 1518 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 1518 is composite or not first we have to find its factors.
Contents
Factors of 1518:
- If we have taken numbers from 1, 2, 3…for checking factors of 1518, we found that 1518 has factors 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759 and 1518. Hence, we must say that 1518 is a composite number.
- Thus, 1518 is the composite number.
- If we multiply 1518 by 1, 2, 3 then we get the multiples of 1518 which are 1518, 3036 and so on.
About the number 1518:
- 1518 has more than two factors which are 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759 and 1518 and hence it is the composite number.
- 1518 is the even composite number and it is not the perfect square also.
- If we divide 1518 by 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759 and 1518 then we get remainder as zero. Hence, 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759 and 1518 are the factors of 1518.
Note:
- 1518 is not the perfect square.
- Factors of 1518: 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759 and 1518
- Prime factors of 1518: 2, 3, 11, 23
Conclusion:
- 1518 is the composite number which has factors 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759 and 1518
- And hence, 1518 is not the prime number.
Multiple Choice Questions:
1) 1518 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 1518 are
a) 1518
b) 2, 3, 11, 23
c) 1, 6, 22, 33, 46, 66, 69, 138, 253, 506, 759 and 1518
d) 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759 and 1518
Ans: b) 2, 3, 11, 23
3) 1518 is even composite number because
a) It has factors 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759 and 1518
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d)all