Is 1725 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 1725 is composite or not first we have to find its factors.
Contents
Factors of 1725:
- If we have taken numbers from 1, 2, 3…for checking factors of 1725, we found that 1725 has factors 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575 and 1725. Hence, we must say that 1725 is a composite number.
- Thus, 1725 is the composite number.
- If we multiply 1725 by 1, 2, 3 then we get the multiples of 1725 which are 1725, 3450 and so on.
1725 is a Composite number or Prime number
About the number 1725:
- 1725 has more than two factors which are 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575 and 1725 and hence it is the composite number.
- 1725 is the odd composite number and it is not the perfect square also.
- If we divide 1725 by 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575 and 1725 then we get remainder as zero. Hence, 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575 and 1725 are the factors of 1725
Note:
- 1725 is not the perfect square.
- Factors of 1725: 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575 and 1725
- Prime factors of 1725: 3, 5, 23
Conclusion:
- 1725 is the composite number which has factors 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575 and 1725.
- And hence, 1725 is not the prime number.
Multiple Choice Questions:
1) 1725 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 1725 are
a) 1
b) 3, 5, 23
c) 1, 15, 25, 69, 75, 115, 345, 575 and 1725
d) 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575 and 1725
Ans: b) 1, 15, 25, 69, 75, 115, 345, 575 and 1725
3) 1725 is the odd composite number because
a) It has factors 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575 and 1725
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all