Is 4725 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 4725 is composite or not first we have to find its factors.
Factors of 4725:
- If we have taken numbers from 1, 2, 3…for checking factors of 4725, we found that 4725 has factors 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575 and 4725. Hence, we must say that 4725 is a composite number.
- Thus, 4725 is the composite number.
- If we multiply 4725 by 1, 2, 3 then we get the multiples of 4725 which are 4725, 9450 and so on.
4725 is a Composite number or Prime number
About the number 4725:
- 4725 has more than two factors which 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575 are and 4725 and hence it is the composite number.
- 4725 is the odd composite number and it is not the perfect square also.
- If we divide 4725 by 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575 and 4725 then we get remainder as zero. Hence 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575 and 4725 are the factors of 4725.
Note:
- 4725 is not the perfect square.
- Factors of 4725:1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575 and 4725
- Prime factors of 4725:3, 5, 7
Conclusion:
- 4725 is the composite number which has factors 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575 and 4725.
- And hence, 4725 is not the prime number.
Multiple Choice Questions:
1) 4725 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 4725 are
a) 1
b) 3, 5, 7
c) 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575 and 4725
d) 1, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575 and 4725
Ans: d)1, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575 and 4725
3) 4725 is the odd composite number because
a) It has factors 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575 and 4725
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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