Is 3045 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 3045 is composite or not first we have to find its factors.
Contents
Factors of 3045:
- If we have taken numbers from 1, 2, 3…for checking factors of 3045, we found that 3045 has factors 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015 and 3045. Hence, we must say that 3045 is a composite number.
- Thus, 3045 is the composite number.
- If we multiply 3045 by 1, 2, 3 then we get the multiples of 3045 which are 3045, 6090 and so on.
3045 is a Composite number or Prime number
About the number 3045:
- 3045 has more than two factors which are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015 and 3045 and hence it is the composite number.
- 3045 is the odd composite number and it is not the perfect square also.
- If we divide 3045 by 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015 and 3045 then we get remainder as zero. Hence 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015 and 3045 are the factors of 3045
Note:
- 3045 is not the perfect square.
- Factors of 3045: 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015 and 3045
- Prime factors of 3045: 3, 5, 7, 29
Conclusion:
- 3045 is the composite number which has factors 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015 and 3045.
- And hence, 3045 is not the prime number.
Multiple Choice Questions:
1) 3045 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 3045 are
a) 1
b) 3, 5, 7, 29
c) 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015 and 3045
d) 1, 15, 21, 35, 87, 105, 145, 203, 435, 609, 1015 and 3045
Ans: d) 1, 15, 21, 35, 87, 105, 145, 203, 435, 609, 1015 and 3045
3) 3045 is the odd composite number because
a) It has factors 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015 and 3045
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all