Write down the largest factor of 3135 other than 3135 itself
The largest factor of 3135, other than 3135 itself, is 1045.
To find the largest factor of 3135, we need to divide it by decreasing numbers until we find a number that divides evenly without leaving a remainder.
Starting with the largest possible divisor, which is 3134 (one less than 3135), we check if 3135 is divisible by 3134.
Dividing 3135 by 3134, we get a quotient of 1 with a remainder of 1. Since there is a remainder, we need to try a smaller divisor.
Next, we try 3133. Dividing 3135 by 3133, we get a quotient of 1 with a remainder of 2. Again, there is a remainder, so we continue to try smaller divisors.
Continuing this process, we find that 3135 is divisible by 47. Dividing 3135 by 47, we get a quotient of 66 with no remainder. Therefore, the largest factor of 3135, other than 3135 itself, is 47.
To find the largest factor of 3135 other than 3135 itself, we need to check all the numbers from 1 to half of 3135 (approximately 1567) and see if any of them evenly divide 3135. If a number divides 3135 without leaving a remainder, then it is a factor of 3135.
Let's go through the process step by step:
1. Start with the number 1 and check if it divides 3135: 3135 ÷ 1 = 3135. Yes, it divides evenly.
2. Move on to the next number, 2: 3135 ÷ 2 = 1567.5. It does not divide evenly.
3. Try the next number, 3: 3135 ÷ 3 = 1045. It does not divide evenly.
4. Continue this process with each subsequent number up to approximately half of 3135.
Now, let's continue to check the factors:
5. Try 4: 3135 ÷ 4 = 783.75. It does not divide evenly.
6. Try 5: 3135 ÷ 5 = 627. It does not divide evenly.
7. Try 6: 3135 ÷ 6 = 522.5. It does not divide evenly.
8. Continue this process until we reach approximately half of 3135 (1567).
Finally, continue until we find the largest factor:
9. Try 1567: 3135 ÷ 1567 = 2. It does not divide evenly.
10. Now, move to the previous number, 1566: 3135 ÷ 1566 = 2. It also does not divide evenly.
11. To find the largest factor, we need to keep trying smaller numbers. Let's try 1565: 3135 ÷ 1565 = 2. It does not divide evenly.
12. By continuing this process, we will eventually find a factor that divides 3135 evenly.
After going through this process, we find that the largest factor of 3135 other than 3135 itself is 1563.
I hope this explanation helps you understand the process of finding the largest factor of a number!