Is 3776 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 3776 is composite or not first we have to find its factors.
Contents
Factors of 3776:
- If we have taken numbers from 1, 2, 3…for checking factors of 3776, we found that 3776 has factors 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888 and 3776. Hence, we must say that 3776 is a composite number.
- Thus, 3776 is the composite number.
- If we multiply 3776 by 1, 2, 3 then we get the multiples of 3776 which are 3776, 7552 and so on.
About the number 3776:
- 3776 has more than two factors which are 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888 and 3776 and hence it is the composite number.
- 3776 is the even composite number and it is not the perfect square also.
- If we divide 3776 by, 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888 and 3776 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888 and 3776 are the factors of 3776.
Note:
- 3776 is not the perfect square.
- Factors of 3776: 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888 and 3776
- Prime factors of 3776: 2, 59
Conclusion:
- 3776 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888 and 3776
- And hence, 3776 is not the prime number.
Multiple Choice Questions:
1) 3776 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 3776 are
a) 3776
b) 2, 59
c) 4, 8, 16, 32, 64, 118, 236, 472, 944, 1888 and 3776
d) 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888 and 3776
Ans: b) 2, 59
3) 3776 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888 and 3776
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all