Is 1512 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 1512 is composite or not first we have to find its factors.
Contents
Factors of 1512:
- If we have taken numbers from 1, 2, 3…for checking factors of 1512, we found that 1512 has factors 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756 and 1512. Hence, we must say that 1512 is a composite number.
- Thus, 1512 is the composite number.
- If we multiply 1512 by 1, 2, 3 then we get the multiples of 1512 which are 1512, 3024 and so on.
About the number 1512:
- 1512 has more than two factors which are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756 and 1512 and hence it is the composite number.
- 1512 is the even composite number and it is not the perfect square also.
- If we divide 1512 by 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756 and 1512 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756 and 1512 are the factors of 1512.
Note:
- 1512 is not the perfect square.
- Factors of 1512: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756 and 1512
- Prime factors of 1512: 2, 3, 7
Conclusion:
- 1512 is the composite number which has factors 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756 and 1512
- And hence, 1512 is not the prime number.
Multiple Choice Questions:
1) 1512 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 1512 are
a) 1512
b) 2, 3, 7
c) 1, 4, 6, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756 and 1512
d) 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756 and 1512
Ans: b) 2, 3, 7
3) 1512 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756 and 1512
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all