Is 3135 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 3135 is composite or not first we have to find its factors.
Contents
Factors of 3135:
- If we have taken numbers from 1, 2, 3…for checking factors of 3135, we found that 3135 has factors 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045 and 3135. Hence, we must say that 3135 is a composite number.
- Thus, 3135 is the composite number.
- If we multiply 3135 by 1, 2, 3 then we get the multiples of 3135 which are 3135, 6270 and so on.
3135 is a Composite number or Prime number
About the number 3135:
- 3135 has more than two factors which are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045 and 3135 and hence it is the composite number.
- 3135 is the odd composite number and it is not the perfect square also.
- If we divide 3135 by 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045 and 3135 then we get remainder as zero. Hence 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045 and 3135 are the factors of 3135
Note:
- 3135 is not the perfect square.
- Factors of 3135: 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045 and 3135
- Prime factors of 3135: 3, 5, 11
Conclusion:
- 3135 is the composite number which has factors 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045 and 3135.
- And hence, 3135 is not the prime number.
Multiple Choice Questions:
1) 3135 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 3135 are
a) 1
b) 3, 5, 11
c) 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045 and 3135
d) 1, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045 and 3135
Ans: d) 1, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045 and 3135
3) 3135 is the odd composite number because
a) It has factors 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045 and 3135
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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