Check to see if 10003 is divisible by any number between 1 and 10. Show your work and explain your findings.(2 points)
To check if 10003 is divisible by any number between 1 and 10, we need to divide 10003 by each number and check if the remainder is 0.
1. Dividing 10003 by 1: 10003 ÷ 1 = 10003 (remainder 0)
Since the remainder is 0, 10003 is divisible by 1.
2. Dividing 10003 by 2: 10003 ÷ 2 = 5001 (remainder 1)
The remainder is not 0, so 10003 is not divisible by 2.
3. Dividing 10003 by 3: 10003 ÷ 3 = 3334 (remainder 1)
Again, the remainder is not 0, so 10003 is not divisible by 3.
4. Dividing 10003 by 4: 10003 ÷ 4 = 2500 (remainder 3)
The remainder is not 0, so 10003 is not divisible by 4.
5. Dividing 10003 by 5: 10003 ÷ 5 = 2000 (remainder 3)
The remainder is not 0, so 10003 is not divisible by 5.
6. Dividing 10003 by 6: 10003 ÷ 6 = 1667 (remainder 1)
Again, the remainder is not 0, so 10003 is not divisible by 6.
7. Dividing 10003 by 7: 10003 ÷ 7 = 1429 (remainder 0)
Since the remainder is 0, 10003 is divisible by 7.
8. Dividing 10003 by 8: 10003 ÷ 8 = 1250 (remainder 3)
The remainder is not 0, so 10003 is not divisible by 8.
9. Dividing 10003 by 9: 10003 ÷ 9 = 1111 (remainder 4)
The remainder is not 0, so 10003 is not divisible by 9.
10. Dividing 10003 by 10: 10003 ÷ 10 = 1000 (remainder 3)
The remainder is not 0, so 10003 is not divisible by 10.
From our calculations, we can conclude that 10003 is divisible by 1 and 7, but not divisible by any other number between 1 and 10.