Is 600 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 600 is composite or not first we have to find its factors.
Contents
Factors of 600:
- If we have taken numbers from 1, 2, 3…for checking factors of 600, we found that 600 has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600. Hence, we must say that 600 is a composite number.
- Thus, 600 is the composite umber.
- If we multiply 600 by 1, 2, 3 then we get the multiples of 600 which are 600, 1200 and so on.
About the number 600:
- 600 has more than two factors which are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600 and hence it is the composite number.
- 600 is the even composite number and it is not the perfect square also.
- If we divide 600 by 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600 are the factors of 600.
Note:
- 600 is not the perfect square.
- Factors of 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600
- Prime factors of 600: 2, 3, 5
Conclusion:
- 600 is the composite number which has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600
- And hence, 600 is not the prime number.
Multiple Choice Questions:
1) 600 is a
a) Prime number
b) odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The non-prime factors of a composite number 600 are
a) 1
b) 2, 3, 5
c) 1, 4, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600
d) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600
Ans: c) 1, 4, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600
3) 600 is the composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: b) more than two factors