Is 3752 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 3752 is composite or not first we have to find its factors.
Contents
Factors of 3752:
- If we have taken numbers from 1, 2, 3…for checking factors of 3752, we found that 3752 has factors 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876 and 3752. Hence, we must say that 3752 is a composite number.
- Thus, 3752 is the composite number.
- If we multiply 3752 by 1, 2, 3 then we get the multiples of 3752 which are 3752, 7504 and so on.
About the number 3752:
- 3752 has more than two factors which are 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876 and 3752 and hence it is the composite number.
- 3752 is the even composite number and it is not the perfect square also.
- If we divide 3752 by, 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876 and 3752 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876 and 3752 are the factors of 3752.
Note:
- 3752 is not the perfect square.
- Factors of 3752: 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876 and 3752
- Prime factors of 3752: 2, 7, 67
Conclusion:
- 3752 is the composite number which has factors, 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876 and 3752
- And hence, 3752 is not the prime number.
Multiple Choice Questions:
1) 3752 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 3752 are
a) 3752
b) 2, 7, 67
c) 4, 8, 14, 28, 56, 134, 268, 469, 536, 938, 1876 and 3752
d) 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876 and 3752
Ans: b) 2, 7, 67
3) 3752 is even composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876 and 3752
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all