Is 4950 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 4950 is composite or not first we have to find its factors.
Factors of 4950:
- If we have taken numbers from 1, 2, 3…for checking factors of 4950 we found that 4950 has factors 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475 and 4950. Hence, we must say that 4950 is a composite number.
- Thus, 4950 is the composite number.
- If we multiply 4950 by 1, 2, 3 then we get the multiples of 4950 which are 4950, 9900 and so on.
About the number 4950:
- 4950 has more than two factors which are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475 and 4950 and hence it is the composite number.
- 4950 is the even composite number and it is not the perfect square also.
- If we divide 4950 by, 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475 and 4950 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475 and 4950 are the factors of 4950.
Note:
- 4950 is not the perfect square.
- Factors of 4950: 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475 and 4950
- Prime factors of 4950: 2, 3, 5, 11
Conclusion:
- 4950 is the composite number which has factors, 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475 and 4950
- And hence, 4950 is not the prime number.
Multiple Choice Questions:
1) 4950 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 4950 are
a) 4950
b) 2, 3, 5, 11
c) 6, 9, 10, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475 and 4950
d) 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475 and 4950
Ans: b) 2, 3, 5, 11
3) 4950 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475 and 4950
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all