Is 3760 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 3760 is composite or not first we have to find its factors.
Contents
Factors of 3760:
- If we have taken numbers from 1, 2, 3…for checking factors of 3760, we found that 3760 has factors 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880 and 3760. Hence, we must say that 3760 is a composite number.
- Thus, 3760 is the composite number.
- If we multiply 3760 by 1, 2, 3 then we get the multiples of 3760 which are 3760, 7520 and so on.
About the number 3760:
- 3760 has more than two factors which are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880 and 3760 and hence it is the composite number.
- 3760 is the even composite number and it is not the perfect square also.
- If we divide 3760 by, 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880 and 3760 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880 and 3760 are the factors of 3760.
Note:
- 3760 is not the perfect square.
- Factors of 3760: 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880 and 3760
- Prime factors of 3760: 2, 5, 47
Conclusion:
- 3760 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880 and 3760
- And hence, 3760 is not the prime number.
Multiple Choice Questions:
1) 3760 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 3760 are
a) 3760
b) 2, 5, 47
c) 4, 8, 10, 16, 20, 40, 80, 94, 188, 235, 376, 470, 752, 940, 1880 and 3760
d) 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880 and 3760
Ans: b) 2, 5, 47
3) 3760 is even composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880 and 3760
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all