Is 3570 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 3570 is composite or not first we have to find its factors.
Factors of 3570:
- If we have taken numbers from 1, 2, 3…for checking factors of 3570, we found that 3570 has factors 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785 and 3570. Hence, we must say that 3570 is a composite number.
- Thus, 3570 is the composite number.
- If we multiply 3570 by 1, 2, 3 then we get the multiples of 3570 which are 3570, 7140 and so on.
About the number 3570:
- 3570 has more than two factors which are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785 and 3570 and hence it is the composite number.
- 3570 is the even composite number and it is not the perfect square also.
- If we divide 3570 by, 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785 and 3570 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785 and 3570 are the factors of 3570.
Note:
- 3570 is not the perfect square.
- Factors of 3570: 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785 and 3570
- Prime factors of 3570: 2, 3, 5, 7, 17
Conclusion:
- 3570 is the composite number which has factors, 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785 and 3570
- And hence, 3570 is not the prime number.
Multiple Choice Questions:
1) 3570 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3570 are
a) 3570
b) 2, 3, 5, 7, 17
c) 6, 10, 14, 15, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785 and 3570
d) 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785 and 3570
Ans: b) 2, 3, 5, 7, 17
3) 3570 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785 and 3570
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all