Is 576 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 576 is composite or not first we have to find its factors.
Contents
Factors of 576:
- If we have taken numbers from 1, 2, 3…for checking factors of 576, we found that 576 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 and 576. Hence, we must say that 576 is a composite number.
- Thus, 576 is the composite umber.
- If we multiply 576 by 1, 2, 3 then we get the multiples of 576 which are 576, 1152 and so on.
About the number 576:
- 576 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 and 576 and hence it is the composite number.
- 576 is the even composite number and it is the perfect square also.
- If we divide 576 by 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 and 576 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 and 576 are the factors of 576.
Note:
- 576 is the perfect square.
- Factors of 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 and 576
- Prime factors of 576: 2, 3
Conclusion:
- 576 is the composite number which has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 and 576
- And hence, 576 is not the prime number.
Multiple Choice Questions:
1) 576 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 576 are
a) 1
b) 2, 3
c) 1, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 and 576
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 and 576
Ans: c) 1, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 and 576
3) 576 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