Is 3465 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 3465 is composite or not first we have to find its factors.
Factors of 3465:
- If we have taken numbers from 1, 2, 3…for checking factors of 3465, we found that 3465 has factors 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465. Hence, we must say that 3465 is a composite number.
- Thus, 3465 is the composite number.
- If we multiply 3465 by 1, 2, 3 then we get the multiples of 3465 which are 3465, 6930 and so on.
3465 is a Composite number or Prime number
About the number 3465:
- 3465 has more than two factors which are 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465 and hence it is the composite number.
- 3465 is the odd composite number and it is not the perfect square also.
- If we divide 3465 by 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465 then we get remainder as zero. Hence 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465 are the factors of 3465
Note:
- 3465 is not the perfect square.
- Factors of 3465: 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465
- Prime factors of 3465: 3, 5, 7, 11
Conclusion:
- 3465 is the composite number which has factors 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465.
- And hence, 3465 is not the prime number.
Multiple Choice Questions:
1) 3465 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 3465 are
a) 1
b) 3, 5, 7, 11
c) 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465
d) 1, 9, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465
Ans: d) 1, 9, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465
3) 3465 is the odd composite number because
a) It has factors 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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