Is 3450 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 3450 is composite or not first we have to find its factors.
Contents
Factors of 3450:
- If we have taken numbers from 1, 2, 3…for checking factors of 3450, we found that 3450 has factors 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725 and 3450. Hence, we must say that 3450 is a composite number.
- Thus, 3450 is the composite number.
- If we multiply 3450 by 1, 2, 3 then we get the multiples of 3450 which are 3450, 6900 and so on.
About the number 3450:
- 3450 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725 and 3450 and hence it is the composite number.
- 3450 is the even composite number and it is not the perfect square also.
- If we divide 3450 by, 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725 and 3450 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725 and 3450 are the factors of 3450.
Note:
- 3450 is not the perfect square.
- Factors of 3450: 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725 and 3450
- Prime factors of 3450: 2, 3, 5, 23
Conclusion:
- 3450 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725 and 3450
- And hence, 3450 is not the prime number.
Multiple Choice Questions:
1) 3450 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 3450 are
a) 3450
b) 2, 3, 5, 23
c) 6, 10, 15, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725 and 3450
d) 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725 and 3450
Ans: b) 2, 3, 5, 23
3) 3450 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725 and 3450
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all