Is 4980 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 4980 is composite or not first we have to find its factors.
Contents
Factors of 4980:
- If we have taken numbers from 1, 2, 3…for checking factors of 4980 we found that 4980 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490 and 4980. Hence, we must say that 4980 is a composite number.
- Thus, 4980 is the composite number.
- If we multiply 4980 by 1, 2, 3 then we get the multiples of 4980 which are 4980, 9960 and so on.
About the number 4980:
- 4980 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490 and 4980 and hence it is the composite number.
- 4980 is the even composite number and it is not the perfect square also.
- If we divide 4980 by, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490 and 4980 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490 and 4980 are the factors of 4980.
Note:
- 4980 is not the perfect square.
- Factors of 4980: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490 and 4980
- Prime factors of 4980: 2, 3, 5, 83
Conclusion:
- 4980 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490 and 4980
- And hence, 4980 is not the prime number.
Multiple Choice Questions:
1) 4980 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 4980 are
a) 4980
b) 2, 3, 5, 83
c) 4, 6, 10, 12, 15, 20, 30, 60, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490 and 4980
d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490 and 4980
Ans: b) 2, 3, 5, 83
3) 4980 is even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490 and 4980
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all