Is 4275 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 4275 is composite or not first we have to find its factors.
Contents
Factors of 4275:
- If we have taken numbers from 1, 2, 3…for checking factors of 4275, we found that 4275 has factors 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425 and 4275. Hence, we must say that 4275 is a composite number.
- Thus, 4275 is the composite number.
- If we multiply 4275 by 1, 2, 3 then we get the multiples of 4275 which are 4275, 8550 and so on.
4275 is a Composite number or Prime number
About the number 4275:
- 4275 has more than two factors which are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425 and 4275 and hence it is the composite number.
- 4275 is the odd composite number and it is not the perfect square also.
- If we divide 4275 by 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425 and 4275 then we get remainder as zero. Hence 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425 and 4275 are the factors of 4275
Note:
- 4275 is not the perfect square.
- Factors of 4275:1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425 and 4275
- Prime factors of 4275: 3, 5, 19
Conclusion:
- 4275 is the composite number which has factors 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425 and 4275.
- And hence, 4275 is not the prime number.
Multiple Choice Questions:
1) 4275 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 4275 are
a) 1
b) 3, 5, 19
c) 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425 and 4275
d) 1, 9, 15, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425 and 4275
Ans: d) 1, 9, 15, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425 and 4275
3) 4275 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425 and 4275
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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