Is 3744 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 3744 is composite or not first we have to find its factors.
Factors of 3744:
- If we have taken numbers from 1, 2, 3…for checking factors of 3744, we found that 3744 has factors 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872 and 3744. Hence, we must say that 3744 is a composite number.
- Thus, 3744 is the composite number.
- If we multiply 3744 by 1, 2, 3 then we get the multiples of 3744 which are 3744, 7488 and so on.
About the number 3744:
- 3744 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872 and 3744 and hence it is the composite number.
- 3744 is the even composite number and it is not the perfect square also.
- If we divide 3744 by, 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872 and 3744 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872 and 3744 are the factors of 3744.
Note:
- 3744 is not the perfect square.
- Factors of 3744: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872 and 3744
- Prime factors of 3744: 2, 3, 13
Conclusion:
- 3744 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872 and 3744
- And hence, 3744 is not the prime number.
Multiple Choice Questions:
1) 3744 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3744 are
a) 3744
b) 2, 3, 13
c) 4, 6, 8, 9, 12, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872 and 3744
d) 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872 and 3744
Ans: b) 2, 3, 13
3) 3744 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872 and 3744
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all