Is 3564 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 3564 is composite or not first we have to find its factors.
Contents
Factors of 3564:
- If we have taken numbers from 1, 2, 3…for checking factors of 3564, we found that 3564 has factors 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782 and 3564. Hence, we must say that 3564 is a composite number.
- Thus, 3564 is the composite number.
- If we multiply 3564 by 1, 2, 3 then we get the multiples of 3564 which are 3564, 7128 and so on.
About the number 3564:
- 3564 has more than two factors which are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782 and 3564 and hence it is the composite number.
- 3564 is the even composite number and it is not the perfect square also.
- If we divide 3564 by, 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782 and 3564 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782 and 3564 are the factors of 3564.
Note:
- 3564 is not the perfect square.
- Factors of 3564: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782 and 3564
- Prime factors of 3564: 2, 3, 11
Conclusion:
- 3564 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782 and 3564
- And hence, 3564 is not the prime number.
Multiple Choice Questions:
1) 3564 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3564 are
a) 3564
b) 2, 3, 11
c) 4, 6, 9, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782 and 3564
d) 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782 and 3564
Ans: b) 2, 3, 11
3) 3564 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782 and 3564
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all