Is 4860 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 4860 is composite or not first we have to find its factors.
Factors of 4860:
- If we have taken numbers from 1, 2, 3…for checking factors of 4860 we found that 4860 has factors 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430 and 4860. Hence, we must say that 4860 is a composite number.
- Thus, 4860 is the composite number.
- If we multiply 4860 by 1, 2, 3 then we get the multiples of 4860 which are 4860, 9720 and so on.
About the number 4860:
- 4860 has more than two factors which are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430 and 4860 and hence it is the composite number.
- 4860 is the even composite number and it is not the perfect square also.
- If we divide 4860 by, 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430 and 4860 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430 and 4860 are the factors of 4860.
Note:
- 4860 is not the perfect square.
- Factors of 4860: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430 and 4860
- Prime factors of 4860: 2, 3, 5
Conclusion:
- 4860 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430 and 4860
- And hence, 4860 is not the prime number.
Multiple Choice Questions:
1) 4860 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 4860 are
a) 4860
b) 2, 3, 5
c) 4, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430 and 4860
d) 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430 and 4860
Ans: b) 2, 3, 5
3) 4860 is even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430 and 4860
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all