Is 4635 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 4635 is composite or not first we have to find its factors.
Contents
Factors of 4635:
- If we have taken numbers from 1, 2, 3…for checking factors of 4635, we found that 4635 has factors 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545 and 4635. Hence, we must say that 4635 is a composite number.
- Thus, 4635 is the composite number.
- If we multiply 4635 by 1, 2, 3 then we get the multiples of 4635 which are 4635, 9270 and so on.
4635 is a Composite number or Prime number
About the number 4635:
- 4635 has more than two factors which are 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545 and 4635 and hence it is the composite number.
- 4635 is the odd composite number and it is not the perfect square also.
- If we divide 4635 by 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545 and 4635 then we get remainder as zero. Hence 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545 and 4635 are the factors of 4635
Note:
- 4635 is not the perfect square.
- Factors of 4635:1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545 and 4635
- Prime factors of 4635:3, 5, 103
Conclusion:
- 4635 is the composite number which has factors 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545 and 4635.
- And hence, 4635 is not the prime number.
Multiple Choice Questions:
1) 4635 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 4635 are
a) 1
b) 3, 5, 103
c) 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545 and 4635
d) 1, 9, 15, 45, 309, 515, 927, 1545 and 4635
Ans: d) 1, 9, 15, 45, 309, 515, 927, 1545 and 4635
3) 4635 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545 and 4635
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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