Is 2064 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 2064 is composite or not first we have to find its factors.
Factors of 2064:
- If we have taken numbers from 1, 2, 3…for checking factors of 2064, we found that 2064 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064. Hence, we must say that 2064 is a composite number.
- Thus, 2064 is the composite number.
- If we multiply 2064 by 1, 2, 3 then we get the multiples of 2064 which are 2064, 4128 and so on.
About the number 2064:
- 2064 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064 and hence it is the composite number.
- 2064 is the even composite number and it is not the perfect square also.
- If we divide 2064 by, 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064 are the factors of 2064.
Note:
- 2064 is not the perfect square.
- Factors of 2064: 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064
- Prime factors of 2064: 2, 3, 43
Conclusion:
- 2064 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064
- And hence, 2064 is not the prime number.
Multiple Choice Questions:
1) 2064 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2064 are
a) 2064
b) 2, 3, 43
c) 1, 4, 6, 8, 12, 16, 24, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064
Ans: c) 1, 4, 6, 8, 12, 16, 24, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064
3) 2064 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032 and 2064