A:
Positive:
1 x 101293155 x 20258637 x 144704523 x 44040535 x 289409115 x 88081161 x 62915805 x 12583
Negative:
-1 x -10129315-5 x -2025863-7 x -1447045-23 x -440405-35 x -289409-115 x -88081-161 x -62915-805 x -12583
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 10,129,315, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 10,129,315 | |
| -1 | -10,129,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,129,315.
Example:
1 x 10,129,315 = 10,129,315
and
-1 x -10,129,315 = 10,129,315
Notice both answers equal 10,129,315
With that explanation out of the way, let's continue. Next, we take the number 10,129,315 and divide it by 2:
10,129,315 ÷ 2 = 5,064,657.5
If the quotient is a whole number, then 2 and 5,064,657.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 10,129,315 | |
| -1 | -10,129,315 |
Now, we try dividing 10,129,315 by 3:
10,129,315 ÷ 3 = 3,376,438.3333
If the quotient is a whole number, then 3 and 3,376,438.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 10,129,315 | |
| -1 | -10,129,315 |
Let's try dividing by 4:
10,129,315 ÷ 4 = 2,532,328.75
If the quotient is a whole number, then 4 and 2,532,328.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 10,129,315 | |
| -1 | 10,129,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 23 | 35 | 115 | 161 | 805 | 12,583 | 62,915 | 88,081 | 289,409 | 440,405 | 1,447,045 | 2,025,863 | 10,129,315 |
| -1 | -5 | -7 | -23 | -35 | -115 | -161 | -805 | -12,583 | -62,915 | -88,081 | -289,409 | -440,405 | -1,447,045 | -2,025,863 | -10,129,315 |
Here are some more numbers to try:
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