Is 744 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 744 is composite or not first we have to find its factors.
Contents
Factors of 744:
- If we have taken numbers from 1, 2, 3…for checking factors of 744, we found that 744 has factors 1, 2, 3, 6, 8, 12, 24, 31, 93, 124, 186, 248, 372 and 744. Hence, we must say that 744 is a composite number.
- Thus, 744 is the composite umber.
- If we multiply 744 by 1, 2, 3 then we get the multiples of 744 which are 744, 1488 and so on.
About the number 744:
- 744 has more than two factors which are 1, 2, 3, 6, 8, 12, 24, 31, 93, 124, 186, 248, 372 and 744 and hence it is the composite number.
- 744 is the even composite number and it is not the perfect square also.
- If we divide 744 by 1, 2, 3, 6, 8, 12, 24, 31, 93, 124, 186, 248, 372 and 744 then we get remainder as zero. Hence, 1, 2, 3, 6, 8, 12, 24, 31, 93, 124, 186, 248, 372 and 744 are the factors of 744.
Note:
- 744 is not the perfect square.
- Factors of 744: 1, 2, 3, 6, 8, 12, 24, 31, 93, 124, 186, 248, 372 and 744
- Prime factors of 744: 2, 3, 31
Conclusion:
- 744 is the composite number which has factors 1, 2, 3, 6, 8, 12, 24, 31, 93, 124, 186, 248, 372 and 744
- And hence, 744 is not the prime number.
Multiple Choice Questions:
1) 744 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 744 are
a) 6, 8, 12, 24, 93, 124, 186, 248, 372,744
b) 2, 3, 31
c) 1, 6, 8, 12, 24, 93, 124, 186, 248, 372 and 744
d) 1, 2, 3, 6, 8, 12, 24, 31, 93, 124, 186, 248, 372 and 744
Ans: a) 6, 8, 12, 24, 93, 124, 186, 248, 372, 744
3) 744 is the composite number because
a) It has factors 1, 2, 3, 6, 8, 12, 24, 31, 93, 124, 186, 248, 372 and 744
b) More than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b