Is 4470 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 4470 is composite or not first we have to find its factors.
Contents
Factors of 4470:
- If we have taken numbers from 1, 2, 3…for checking factors of 4470 we found that 4470 has factors 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235 and 4470. Hence, we must say that 4470 is a composite number.
- Thus, 4470 is the composite number.
- If we multiply 4470 by 1, 2, 3 then we get the multiples of 4470 which are 4470, 8940 and so on.
About the number 4470:
- 4470 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235 and 4470 and hence it is the composite number.
- 4470 is the even composite number and it is not the perfect square also.
- If we divide 4470 by, 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235 and 4470 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235 and 4470 are the factors of 4470.
Note:
- 4470 is not the perfect square.
- Factors of 4470: 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235 and 4470
- Prime factors of 4470: 2, 3, 5, 149
Conclusion:
- 4470 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235 and 4470
- And hence, 4470 is not the prime number.
Multiple Choice Questions:
1) 4470 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4470 are
a) 4470
b) 2, 3, 5, 149
c) 6, 10, 15, 30, 298, 447, 745, 894, 1490, 2235 and 4470
d) 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235 and 4470
Ans: c) 6, 10, 15, 30, 298, 447, 745, 894, 1490, 2235 and 4470
3) 4470 is composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235 and 4470
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b