A:
Positive:
1 x 1064621537 x 1520887931 x 343426349 x 2172697109 x 976717217 x 490609643 x 165571763 x 1395311519 x 700873379 x 315074501 x 236535341 x 19933
Negative:
-1 x -106462153-7 x -15208879-31 x -3434263-49 x -2172697-109 x -976717-217 x -490609-643 x -165571-763 x -139531-1519 x -70087-3379 x -31507-4501 x -23653-5341 x -19933
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 106,462,153, 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 | 106,462,153 | |
| -1 | -106,462,153 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 106,462,153.
Example:
1 x 106,462,153 = 106,462,153
and
-1 x -106,462,153 = 106,462,153
Notice both answers equal 106,462,153
With that explanation out of the way, let's continue. Next, we take the number 106,462,153 and divide it by 2:
106,462,153 ÷ 2 = 53,231,076.5
If the quotient is a whole number, then 2 and 53,231,076.5 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 | 106,462,153 | |
| -1 | -106,462,153 |
Now, we try dividing 106,462,153 by 3:
106,462,153 ÷ 3 = 35,487,384.3333
If the quotient is a whole number, then 3 and 35,487,384.3333 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 | 106,462,153 | |
| -1 | -106,462,153 |
Let's try dividing by 4:
106,462,153 ÷ 4 = 26,615,538.25
If the quotient is a whole number, then 4 and 26,615,538.25 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 | 106,462,153 | |
| -1 | 106,462,153 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 49 | 109 | 217 | 643 | 763 | 1,519 | 3,379 | 4,501 | 5,341 | 19,933 | 23,653 | 31,507 | 70,087 | 139,531 | 165,571 | 490,609 | 976,717 | 2,172,697 | 3,434,263 | 15,208,879 | 106,462,153 |
| -1 | -7 | -31 | -49 | -109 | -217 | -643 | -763 | -1,519 | -3,379 | -4,501 | -5,341 | -19,933 | -23,653 | -31,507 | -70,087 | -139,531 | -165,571 | -490,609 | -976,717 | -2,172,697 | -3,434,263 | -15,208,879 | -106,462,153 |
Here are some more numbers to try:
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