Is 2475 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 2475 is composite or not first we have to find its factors.
Contents
Factors of 2475:
- If we have taken numbers from 1, 2, 3…for checking factors of 2475, we found that 2475 has factors 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825 and 2475. Hence, we must say that 2475 is a composite number.
- Thus, 2475 is the composite number.
- If we multiply 2475 by 1, 2, 3 then we get the multiples of 2475 which are 2475, 4950 and so on.
2475 is a Composite number or Prime number
About the number 2475:
- 2475 has more than two factors which are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825 and 2475 and hence it is the composite number.
- 2475 is the odd composite number and it is not the perfect square also.
- If we divide 2475 by 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825 and 2475 then we get remainder as zero. Hence 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825 and 2475 are the factors of 2475
Note:
- 2475 is not the perfect square.
- Factors of 2475: 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825 and 2475
- Prime factors of 2475: 3, 5, 11
Conclusion:
- 2475 is the composite number which has factors 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825 and 2475.
- And hence, 2475 is not the prime number.
Multiple Choice Questions:
1) 2475 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 2475 are
a) 1
b) 3, 5, 11
c) 1 and 2475
d) 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825 and 2475
Ans: b) 3, 5, 11
3) 2475 is the composite number because
a) It has factors 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825 and 2475
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