Is 4590 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 4590 is composite or not first we have to find its factors.
Factors of 4590:
- If we have taken numbers from 1, 2, 3…for checking factors of 4590 we found that 4590 has factors 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295 and 4590. Hence, we must say that 4590 is a composite number.
- Thus, 4590 is the composite number.
- If we multiply 4590 by 1, 2, 3 then we get the multiples of 4590 which are 4590, 9180 and so on.
About the number 4590:
- 4590 has more than two factors which are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295 and 4590 and hence it is the composite number.
- 4590 is the even composite number and it is not the perfect square also.
- If we divide 4590 by, 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295 and 4590 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295 and 4590 are the factors of 4590.
Note:
- 4590 is not the perfect square.
- Factors of 4590: 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295 and 4590
- Prime factors of 4590: 2, 3, 5, 17
Conclusion:
- 4590 is the composite number which has factors, 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295 and 4590
- And hence, 4590 is not the prime number.
Multiple Choice Questions:
1) 4590 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4590 are
a) 4590
b) 2, 3, 5, 17
c) 6, 9, 10, 15, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295 and 4590
d) 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295 and 4590
Ans: c) 6, 9, 10, 15, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295 and 4590
3) 4590 is composite number because
a) It has factors 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295 and 4590
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b