Is 1575 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 1575 is composite or not first we have to find its factors.
Contents
Factors of 1575:
- If we have taken numbers from 1, 2, 3…for checking factors of 1575, we found that 1575 has factors 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575. Hence, we must say that 1575 is a composite number.
- Thus, 1575 is the composite number.
- If we multiply 1575 by 1, 2, 3 then we get the multiples of 1575 which are 1575, 3150 and so on.
1575 is a Composite number or Prime number
About the number 1575:
- 1575 has more than two factors which are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575 and hence it is the composite number.
- 1575 is the odd composite number and it is not the perfect square also.
- If we divide 1575 by 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575 then we get remainder as zero. Hence, 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575 are the factors of 1575
Note:
- 1575 is not the perfect square.
- Factors of 1575: 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575
- Prime factors of 1575: 3, 5, 7
Conclusion:
- 1575 is the composite number which has factors 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575.
- And hence, 1575 is not the prime number.
Multiple Choice Questions:
1) 1575 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1575 are
a) 1
b) 3, 5, 7
c) 1, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575
d) 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575
Ans: b) 1, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575
3) 1575 is the odd composite number because
a) It has factors 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all