Is 4848 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 4848 is composite or not first we have to find its factors.
Contents
Factors of 4848:
- If we have taken numbers from 1, 2, 3…for checking factors of 4848 we found that 4848 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424 and 4848. Hence, we must say that 4848 is a composite number.
- Thus, 4848 is the composite number.
- If we multiply 4848 by 1, 2, 3 then we get the multiples of 4848 which are 4848, 9696 and so on.
About the number 4848:
- 4848 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424 and 4848 and hence it is the composite number.
- 4848 is the even composite number and it is not the perfect square also.
- If we divide 4848 by, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424 and 4848 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424 and 4848 are the factors of 4848.
Note:
- 4848 is not the perfect square.
- Factors of 4848: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424 and 4848
- Prime factors of 4848: 2, 3, 101
Conclusion:
- 4848 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424 and 4848
- And hence, 4848 is not the prime number.
Multiple Choice Questions:
1) 4848 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 4848 are
a) 4848
b) 2, 3, 101
c) 4, 6, 8, 12, 16, 24, 48, 202, 303, 404, 606, 808, 1212, 1616, 2424 and 4848
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424 and 4848
Ans: b) 2, 3, 101
3) 4848 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424 and 4848
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all