Is 4900 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 4900 is composite or not first we have to find its factors.
Contents
Factors of 4900:
- If we have taken numbers from 1, 2, 3…for checking factors of 4900 we found that 4900 has factors 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450 and 4900. Hence, we must say that 4900 is a composite number.
- Thus, 4900 is the composite number.
- If we multiply 4900 by 1, 2, 3 then we get the multiples of 4900 which are 4900, 9800 and so on.
About the number 4900:
- 4900 has more than two factors which are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450 and 4900 and hence it is the composite number.
- 4900 is the even composite number and it is the perfect square also.
- If we divide 4900 by, 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450 and 4900 then we get remainder as zero. Hence, 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450 and 4900 are the factors of 4900.
Note:
- 4900 is the perfect square.
- Factors of 4900: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450 and 4900
- Prime factors of 4900: 2, 5, 7
Conclusion:
- 4900 is the composite number which has factors, 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450 and 4900
- And hence, 4900 is not the prime number.
Multiple Choice Questions:
1) 4900 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 4900 are
a) 4900
b) 2, 5, 7
c) 4, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450 and 4900
d) 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450 and 4900
Ans: b) 2, 5, 7
3) 4900 is even composite number because
a) It has factors 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450 and 4900
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all