Is 3250 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 3250 is composite or not first we have to find its factors.
Contents
Factors of 3250:
- If we have taken numbers from 1, 2, 3…for checking factors of 3250, we found that 3250 has factors 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625 and 3250. Hence, we must say that 3250 is a composite number.
- Thus, 3250 is the composite number.
- If we multiply 3250 by 1, 2, 3 then we get the multiples of 3250 which are 3250, 6500 and so on.
About the number 3250:
- 3250 has more than two factors which are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625 and 3250 and hence it is the composite number.
- 3250 is the even composite number and it is not the perfect square also.
- If we divide 3250 by, 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625 and 3250 then we get remainder as zero. Hence, 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625 and 3250 are the factors of 3250.
Note:
- 3250 is not the perfect square.
- Factors of 3250: 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625 and 3250
- Prime factors of 3250: 2, 5, 13
Conclusion:
- 3250 is the composite number which has factors, 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625 and 3250
- And hence, 3250 is not the prime number.
Multiple Choice Questions:
1) 3250 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 3250 are
a) 3250
b) 2, 5, 13
c) 10, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625 and 3250
d) 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625 and 3250
Ans: b) 2, 5, 13
3) 3250 is composite number because
a) It has factors 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625 and 3250
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625 and 3250