Is 3675 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 3675 is composite or not first we have to find its factors.
Contents
Factors of 3675:
- If we have taken numbers from 1, 2, 3…for checking factors of 3675, we found that 3675 has factors 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225 and 3675. Hence, we must say that 3675 is a composite number.
- Thus, 3675 is the composite number.
- If we multiply 3675 by 1, 2, 3 then we get the multiples of 3675 which are 3675, 7350 and so on.
3675 is a Composite number or Prime number
About the number 3675:
- 3675 has more than two factors which are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225 and 3675 and hence it is the composite number.
- 3675 is the odd composite number and it is not the perfect square also.
- If we divide 3675 by 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225 and 3675 then we get remainder as zero. Hence 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225 and 3675 are the factors of 3675
Note:
- 3675 is not the perfect square.
- Factors of 3675:1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225 and 3675
- Prime factors of 3675: 3, 5, 7
Conclusion:
- 3675 is the composite number which has factors 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225 and 3675.
- And hence, 3675 is not the prime number.
Multiple Choice Questions:
1) 3675 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 3675 are
a) 1
b) 3, 5, 7
c) 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225 and 3675
d) 1, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225 and 3675
Ans: d)1, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225 and 3675
3) 3675 is the odd composite number because
a) It has factors 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225 and 3675
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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