Is 3315 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 3315 is composite or not first we have to find its factors.
Contents
Factors of 3315:
- If we have taken numbers from 1, 2, 3…for checking factors of 3315, we found that 3315 has factors 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105 and 3315. Hence, we must say that 3315 is a composite number.
- Thus, 3315 is the composite number.
- If we multiply 3315 by 1, 2, 3 then we get the multiples of 3315 which are 3315, 6630 and so on.
3315 is a Composite number or Prime number
About the number 3315:
- 3315 has more than two factors which are 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105 and 3315 and hence it is the composite number.
- 3315 is the odd composite number and it is not the perfect square also.
- If we divide 3315 by 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105 and 3315 then we get remainder as zero. Hence 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105 and 3315 are the factors of 3315
Note:
- 3315 is not the perfect square.
- Factors of 3315: 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105 and 3315
- Prime factors of 3315: 3, 5, 13, 17
Conclusion:
- 3315 is the composite number which has factors 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105 and 3315.
- And hence, 3315 is not the prime number.
Multiple Choice Questions:
1) 3315 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 3315 are
a) 1
b) 3, 5, 13, 17
c) 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105 and 3315
d) 1, 15, 39, 51, 65, 85, 195, 221, 255, 663, 1105 and 3315
Ans: d) 1, 15, 39, 51, 65, 85, 195, 221, 255, 663, 1105 and 3315
3) 3315 is the odd composite number because
a) It has factors 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105 and 3315
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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