Is 3712 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 3712 is composite or not first we have to find its factors.
Contents
Factors of 3712:
- If we have taken numbers from 1, 2, 3…for checking factors of 3712, we found that 3712 has factors 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856 and 3712. Hence, we must say that 3712 is a composite number.
- Thus, 3712 is the composite number.
- If we multiply 3712 by 1, 2, 3 then we get the multiples of 3712 which are 3712, 7424 and so on.
About the number 3712:
- 3712 has more than two factors which are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856 and 3712 and hence it is the composite number.
- 3712 is the even composite number and it is not the perfect square also.
- If we divide 3712 by, 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856 and 3712 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856 and 3712 are the factors of 3712.
Note:
- 3712 is not the perfect square.
- Factors of 3712: 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856 and 3712
- Prime factors of 3712: 2, 29
Conclusion:
- 3712 is the composite number which has factors, 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856 and 3712
- And hence, 3712 is not the prime number.
Multiple Choice Questions:
1) 3712 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 3712 are
a) 3712
b) 2, 29
c) 4, 8, 16, 32, 58, 64, 116, 128, 232, 464, 928, 1856 and 3712
d) 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856 and 3712
Ans: b) 2, 29
3) 3712 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856 and 3712
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all