Is 4704 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 4704 is composite or not first we have to find its factors.
Factors of 4704:
- If we have taken numbers from 1, 2, 3…for checking factors of 4704 we found that 4704 has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352 and 4704. Hence, we must say that 4704 is a composite number.
- Thus, 4704 is the composite number.
- If we multiply 4704 by 1, 2, 3 then we get the multiples of 4704 which are 4704, 9408 and so on.
About the number 4704:
- 4704 has more than two factors which are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352 and 4704 and hence it is the composite number.
- 4704 is the even composite number and it is not the perfect square also.
- If we divide 4704 by, 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352 and 4704 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352 and 4704 are the factors of 4704.
Note:
- 4704 is not the perfect square.
- Factors of 4704: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352 and 4704
- Prime factors of 4704: 2, 3, 7
Conclusion:
- 4704 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352 and 4704
- And hence, 4704 is not the prime number.
Multiple Choice Questions:
1) 4704 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 4704 are
a) 4704
b) 2, 3, 7
c) 4, 6, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352 and 4704
d) 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352 and 4704
Ans: b) 2, 3, 7
3) 4704 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352 and 4704
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all