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