Is 4875 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 4875 is composite or not first we have to find its factors.
Contents
Factors of 4875:
- If we have taken numbers from 1, 2, 3…for checking factors of 4875, we found that 4875 has factors 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625 and 4875. Hence, we must say that 4875 is a composite number.
- Thus, 4875 is the composite number.
- If we multiply 4875 by 1, 2, 3 then we get the multiples of 4875 which are 4875, 9750 and so on.
4875 is a Composite number or Prime number
About the number 4875:
- 4875 has more than two factors which 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625 and 4875 are hence it is the composite number.
- 4875 is the odd composite number and it is not the perfect square also.
- If we divide 4875 by 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625 and 4875 then we get remainder as zero. Hence 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625 and 4875 are the factors of 4875.
Note:
- 4875 is not the perfect square.
- Factors of 4875:1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625 and 4875
- Prime factors of 4875:3, 5, 13
Conclusion:
- 4875 is the composite number which has factors 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625 and 4875.
- And hence, 4875 is not the prime number.
Multiple Choice Questions:
1) 4875 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 4875 are
a) 1
b) 3, 5, 13
c) 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625 and 4875
d) 1, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625 and 4875
Ans: b) 3, 5, 13
3) 4875 is the composite number because
a) It has factors 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625 and 4875
b) It has more than two factors
c) It is not divisible by 2
d) Both a and b
Ans: d) both a and b
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