Is 4752 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 4752 is composite or not first we have to find its factors.
Factors of 4752:
- If we have taken numbers from 1, 2, 3…for checking factors of 4752 we found that 4752 has factors 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 74, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376 and 4752. Hence, we must say that 4752 is a composite number.
- Thus, 4752 is the composite number.
- If we multiply 4752 by 1, 2, 3 then we get the multiples of 4752 which are 4752, 9504 and so on.
About the number 4752:
- 4752 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 74, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376 and 4752 and hence it is the composite number.
- 4752 is the even composite number and it is not the perfect square also.
- If we divide 4752 by, 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 74, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376 and 4752 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 74, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376 and 4752 are the factors of 4752.
Note:
- 4752 is not the perfect square.
- Factors of 4752: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 74, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376 and 4752
- Prime factors of 4752: 2, 3, 11
Conclusion:
- 4752 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 74, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376 and 4752
- And hence, 4752 is not the prime number.
Multiple Choice Questions:
1) 4752 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 4752 are
a) 4752
b) 2, 3, 11
c) 4, 6, 8, 9, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 74, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376 and 4752
d) 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 74, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376 and 4752
Ans: b) 2, 3, 11
3) 4752 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 74, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376 and 4752
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all