Is 748 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 748 is composite or not first we have to find its factors.
Contents
Factors of 748:
- If we have taken numbers from 1, 2, 3…for checking factors of 748, we found that 748 has factors 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374 and 748. Hence, we must say that 748 is a composite number.
- Thus, 748 is the composite umber.
- If we multiply 748 by 1, 2, 3 then we get the multiples of 748 which are 748, 1496 and so on.
About the number 748:
- 748 has more than two factors which are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374 and 748 and hence it is the composite number.
- 748 is the even composite number and it is not the perfect square also.
- If we divide 748 by 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374 and 748 then we get remainder as zero. Hence, 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374 and 748 are the factors of 748.
Note:
- 748 is not the perfect square.
- Factors of 748: 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374 and 748
- Prime factors of 748: 2, 11, 17
Conclusion:
- 748 is the composite number which has factors 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374 and 748
- And hence, 748 is not the prime number.
Multiple Choice Questions:
1) 748 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 748 are
a) 4, 22, 34, 44, 68, 187, 374,748
b) 2, 11, 17
c) 1, 4, 22, 34, 44, 68, 187, 374 and 748
d) 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374 and 748
Ans: a) 4, 22, 34, 44, 68, 187, 374, 748
3) 748 is the composite number because
a) It has factors 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374 and 748
b) More than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b