A:
Positive:
1 x 103576697 x 147966729 x 35716137 x 27993749 x 211381197 x 52577203 x 51023259 x 399911073 x 96531379 x 75111421 x 72891813 x 5713
Negative:
-1 x -10357669-7 x -1479667-29 x -357161-37 x -279937-49 x -211381-197 x -52577-203 x -51023-259 x -39991-1073 x -9653-1379 x -7511-1421 x -7289-1813 x -5713
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 10,357,669, 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 | 10,357,669 | |
| -1 | -10,357,669 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,357,669.
Example:
1 x 10,357,669 = 10,357,669
and
-1 x -10,357,669 = 10,357,669
Notice both answers equal 10,357,669
With that explanation out of the way, let's continue. Next, we take the number 10,357,669 and divide it by 2:
10,357,669 ÷ 2 = 5,178,834.5
If the quotient is a whole number, then 2 and 5,178,834.5 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 | 10,357,669 | |
| -1 | -10,357,669 |
Now, we try dividing 10,357,669 by 3:
10,357,669 ÷ 3 = 3,452,556.3333
If the quotient is a whole number, then 3 and 3,452,556.3333 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 | 10,357,669 | |
| -1 | -10,357,669 |
Let's try dividing by 4:
10,357,669 ÷ 4 = 2,589,417.25
If the quotient is a whole number, then 4 and 2,589,417.25 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 | 10,357,669 | |
| -1 | 10,357,669 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 37 | 49 | 197 | 203 | 259 | 1,073 | 1,379 | 1,421 | 1,813 | 5,713 | 7,289 | 7,511 | 9,653 | 39,991 | 51,023 | 52,577 | 211,381 | 279,937 | 357,161 | 1,479,667 | 10,357,669 |
| -1 | -7 | -29 | -37 | -49 | -197 | -203 | -259 | -1,073 | -1,379 | -1,421 | -1,813 | -5,713 | -7,289 | -7,511 | -9,653 | -39,991 | -51,023 | -52,577 | -211,381 | -279,937 | -357,161 | -1,479,667 | -10,357,669 |
Here are some more numbers to try:
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