Is 4575 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 4575 is composite or not first we have to find its factors.
Contents
Factors of 4575:
- If we have taken numbers from 1, 2, 3…for checking factors of 4575, we found that 4575 has factors 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525 and 4575. Hence, we must say that 4575 is a composite number.
- Thus, 4575 is the composite number.
- If we multiply 4575 by 1, 2, 3 then we get the multiples of 4575 which are 4575, 9150 and so on.
4575 is a Composite number or Prime number
About the number 4575:
- 4575 has more than two factors which are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525 and 4575 and hence it is the composite number.
- 4575 is the odd composite number and it is not the perfect square also.
- If we divide 4575 by 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525 and 4575 then we get remainder as zero. Hence 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525 and 4575 are the factors of 4575
Note:
- 4575 is not the perfect square.
- Factors of 4575:1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525 and 4575
- Prime factors of 4575:3, 5, 61
Conclusion:
- 4575 is the composite number which has factors 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525 and 4575.
- And hence, 4575 is not the prime number.
Multiple Choice Questions:
1) 4575 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 4575 are
a) 1
b) 3, 5, 61
c) 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525 and 4575
d) 1, 15, 25, 75, 183, 305, 915, 1525 and 4575
Ans: d)1, 15, 25, 75, 183, 305, 915, 1525 and 4575
3) 4575 is the odd composite number because
a) It has factors 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525 and 4575
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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