Is 3500 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 3500 is composite or not first we have to find its factors.
Contents
Factors of 3500:
- If we have taken numbers from 1, 2, 3…for checking factors of 3500, we found that 3500 has factors 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750 and 3500. Hence, we must say that 3500 is a composite number.
- Thus, 3500 is the composite number.
- If we multiply 3500 by 1, 2, 3 then we get the multiples of 3500 which are 3500, 7000 and so on.
About the number 3500:
- 3500 has more than two factors which are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750 and 3500 and hence it is the composite number.
- 3500 is the even composite number and it is not the perfect square also.
- If we divide 3500 by, 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750 and 3500 then we get remainder as zero. Hence, 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750 and 3500 are the factors of 3500.
Note:
- 3500 is not the perfect square.
- Factors of 3500: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750 and 3500
- Prime factors of 3500: 2, 5, 7
Conclusion:
- 3500 is the composite number which has factors, 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750 and 3500
- And hence, 3500 is not the prime number.
Multiple Choice Questions:
1) 3500 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 3500 are
a) 3500
b) 2, 5, 7
c) 4, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750 and 3500
d) 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750 and 3500
Ans: b) 2, 5, 7
3) 3500 is even composite number because
a) It has factors 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750 and 3500
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all