Is 3756 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 3756 is composite or not first we have to find its factors.
Contents
Factors of 3756:
- If we have taken numbers from 1, 2, 3…for checking factors of 3756, we found that 3756 has factors 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878 and 3756. Hence, we must say that 3756 is a composite number.
- Thus, 3756 is the composite number.
- If we multiply 3756 by 1, 2, 3 then we get the multiples of 3756 which are 3756, 7512 and so on.
About the number 3756:
- 3756 has more than two factors which are 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878 and 3756 and hence it is the composite number.
- 3756 is the even composite number and it is not the perfect square also.
- If we divide 3756 by, 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878 and 3756 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878 and 3756 are the factors of 3756.
Note:
- 3756 is not the perfect square.
- Factors of 3756: 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878 and 3756
- Prime factors of 3756: 2, 3, 313
Conclusion:
- 3756 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878 and 3756
- And hence, 3756 is not the prime number.
Multiple Choice Questions:
1) 3756 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 3756 are
a) 3756
b) 2, 3, 313
c) 4, 6, 12, 626, 939, 1252, 1878 and 3756
d) 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878 and 3756
Ans: b) 2, 3, 313
3) 3756 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878 and 3756
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all