Is 4290 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 4290 is composite or not first we have to find its factors.
Factors of 4290:
- If we have taken numbers from 1, 2, 3…for checking factors of 4290 we found that 4290 has factors 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145 and 4290. Hence, we must say that 4290 is a composite number.
- Thus, 4290 is the composite number.
- If we multiply 4290 by 1, 2, 3 then we get the multiples of 4290 which are 4290, 8580 and so on.
About the number 4290:
- 4290 has more than two factors which are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145 and 4290 and hence it is the composite number.
- 4290 is the even composite number and it is not the perfect square also.
- If we divide 4290 by, 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145 and 4290 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145 and 4290 are the factors of 4290.
Note:
- 4290 is not the perfect square.
- Factors of 4290: 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145 and 4290
- Prime factors of 4290: 2, 3, 5, 11, 13
Conclusion:
- 4290 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145 and 4290
- And hence, 4290 is not the prime number.
Multiple Choice Questions:
1) 4290 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 4290 are
a) 4290
b) 2, 3, 5, 11, 13
c) 6, 10, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145 and 4290
d) 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145 and 4290
Ans: c) 6, 10, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145 and 4290
3) 4290 is composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145 and 4290
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b