Is 4005 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 4005 is composite or not first we have to find its factors.
Contents
Factors of 4005:
- If we have taken numbers from 1, 2, 3…for checking factors of 4005, we found that 4005 has factors 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335 and 4005. Hence, we must say that 4005 is a composite number.
- Thus, 4005 is the composite number.
- If we multiply 4005 by 1, 2, 3 then we get the multiples of 4005 which are 4005, 8010 and so on.
4005 is a Composite number or Prime number
About the number 4005:
- 4005 has more than two factors which are 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335 and 4005 and hence it is the composite number.
- 4005 is the odd composite number and it is not the perfect square also.
- If we divide 4005 by 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335 and 4005 then we get remainder as zero. Hence 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335 and 4005 are the factors of 4005
Note:
- 4005 is not the perfect square.
- Factors of 4005: 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335 and 4005
- Prime factors of 4005: 3, 5, 89
Conclusion:
- 4005 is the composite number which has factors 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335 and 4005.
- And hence, 4005 is not the prime number.
Multiple Choice Questions:
1) 4005 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 4005 are
a) 1
b) 3, 5, 89
c) 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335 and 4005
d) 1, 9, 15, 45, 267, 445, 801, 1335 and 4005
Ans: d) 1, 9, 15, 45, 267, 445, 801, 1335 and 4005
3) 4005 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335 and 4005
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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