A:
Positive:
1 x 1051513455 x 2103026913 x 808856565 x 1617713263 x 3998151315 x 799633419 x 307556151 x 17095
Negative:
-1 x -105151345-5 x -21030269-13 x -8088565-65 x -1617713-263 x -399815-1315 x -79963-3419 x -30755-6151 x -17095
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 105,151,345, 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 | 105,151,345 | |
| -1 | -105,151,345 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,151,345.
Example:
1 x 105,151,345 = 105,151,345
and
-1 x -105,151,345 = 105,151,345
Notice both answers equal 105,151,345
With that explanation out of the way, let's continue. Next, we take the number 105,151,345 and divide it by 2:
105,151,345 ÷ 2 = 52,575,672.5
If the quotient is a whole number, then 2 and 52,575,672.5 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 | 105,151,345 | |
| -1 | -105,151,345 |
Now, we try dividing 105,151,345 by 3:
105,151,345 ÷ 3 = 35,050,448.3333
If the quotient is a whole number, then 3 and 35,050,448.3333 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 | 105,151,345 | |
| -1 | -105,151,345 |
Let's try dividing by 4:
105,151,345 ÷ 4 = 26,287,836.25
If the quotient is a whole number, then 4 and 26,287,836.25 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 | 105,151,345 | |
| -1 | 105,151,345 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 263 | 1,315 | 3,419 | 6,151 | 17,095 | 30,755 | 79,963 | 399,815 | 1,617,713 | 8,088,565 | 21,030,269 | 105,151,345 |
| -1 | -5 | -13 | -65 | -263 | -1,315 | -3,419 | -6,151 | -17,095 | -30,755 | -79,963 | -399,815 | -1,617,713 | -8,088,565 | -21,030,269 | -105,151,345 |
Here are some more numbers to try:
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