Is 504 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 504 is composite or not first we have to find its factors.
Contents
Factors of 504:
- If we have taken numbers from 1, 2, 3…for checking factors of 504, we found that 504 has factors 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252 and 504. Hence, we must say that 504 is a composite number.
- Thus, 504 is the composite umber.
- If we multiply 504 by 1, 2, 3 then we get the multiples of 504 which are 504, 1008
- and so on.
About the number 504:
- 504 has more than two factors which are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252 and 504 and hence it is the composite number.
- 504 is the even composite number and it is not the perfect square also.
- If we divide 504 by 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252 and 504 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252 and 504 are the factors of 504.
Note:
- 504 is not the perfect square.
- Factors of 504:1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252 and 504
- Prime factors of 504: 2, 3, 7
Conclusion:
- 504 is the composite number which has factors 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252 and 504
- And hence, 504 is not the prime number.
Multiple Choice Questions:
1) 504 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 504 are
a) 1
b) 2, 3, 7
c) 1, 4, 6, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252 and 504
d) 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252 and 504
Ans: c) 1, 4, 6, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252 and 504
3) 504 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