Is 726 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 726 is composite or not first we have to find its factors.
Contents
Factors of 726:
- If we have taken numbers from 1, 2, 3…for checking factors of 726, we found that 726 has factors 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363 and 726. Hence, we must say that 726 is a composite number.
- Thus, 726 is the composite umber.
- If we multiply 726 by 1, 2, 3 then we get the multiples of 726 which are 726, 1452 and so on.
About the number 726:
- 726 has more than two factors which are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363 and 726 and hence it is the composite number.
- 726 is the even composite number and it is not the perfect square also.
- If we divide 726 by 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363 and 726 then we get remainder as zero. Hence, 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363 and 726 are the factors of 726.
Note:
- 726 is not the perfect square.
- Factors of 726: 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363 and 726
- Prime factors of 726: 2, 3, 11
Conclusion:
- 726 is the composite number which has factors 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363 and 726
- And hence, 726 is not the prime number.
Multiple Choice Questions:
1) 726 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 726 are
a) 6, 22, 33, 66, 121, 242, 363,726
b) 2, 3, 11
c) 1, 6, 22, 33, 66, 121, 242, 363 and 726
d) 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363 and 726
Ans: a) 6, 22, 33, 66, 121, 242, 363, 726
3) 726 is the composite number because
a) It has factors 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363 and 726
b) More than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b