Is 738 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 738 is composite or not first we have to find its factors.
Factors of 738:
- If we have taken numbers from 1, 2, 3…for checking factors of 738, we found that 738 has factors 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 and 738. Hence, we must say that 738 is a composite number.
- Thus, 738 is the composite umber.
- If we multiply 738 by 1, 2, 3 then we get the multiples of 738 which are 738, 1476 and so on.
About the number 738:
- 738 has more than two factors which are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 and 738 and hence it is the composite number.
- 738 is the even composite number and it is not the perfect square also.
- If we divide 738 by 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 and 738 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 and 738 are the factors of 738.
Note:
- 738 is not the perfect square.
- Factors of 738: 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 and 738
- Prime factors of 738: 2, 3, 41
Conclusion:
- 738 is the composite number which has factors 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 and 738
- And hence, 738 is not the prime number.
Multiple Choice Questions:
1) 738 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 738 are
a) 6, 9, 18, 82, 123, 246, 369,738
b) 2, 3, 41
c) 1, 6, 9, 18, 82, 123, 246, 369 and738
d) 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 and 738
Ans: a) 6, 9, 18, 82, 123, 246, 369, 738
3) 738 is the composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 and 738
b) More than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b
