A:
Positive:
1 x 1462521417 x 2089316331 x 4717811101 x 1448041217 x 673973707 x 2068633131 x 467116673 x 21917
Negative:
-1 x -146252141-7 x -20893163-31 x -4717811-101 x -1448041-217 x -673973-707 x -206863-3131 x -46711-6673 x -21917
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 146,252,141, 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 | 146,252,141 | |
| -1 | -146,252,141 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 146,252,141.
Example:
1 x 146,252,141 = 146,252,141
and
-1 x -146,252,141 = 146,252,141
Notice both answers equal 146,252,141
With that explanation out of the way, let's continue. Next, we take the number 146,252,141 and divide it by 2:
146,252,141 ÷ 2 = 73,126,070.5
If the quotient is a whole number, then 2 and 73,126,070.5 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 | 146,252,141 | |
| -1 | -146,252,141 |
Now, we try dividing 146,252,141 by 3:
146,252,141 ÷ 3 = 48,750,713.6667
If the quotient is a whole number, then 3 and 48,750,713.6667 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 | 146,252,141 | |
| -1 | -146,252,141 |
Let's try dividing by 4:
146,252,141 ÷ 4 = 36,563,035.25
If the quotient is a whole number, then 4 and 36,563,035.25 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 | 146,252,141 | |
| -1 | 146,252,141 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 101 | 217 | 707 | 3,131 | 6,673 | 21,917 | 46,711 | 206,863 | 673,973 | 1,448,041 | 4,717,811 | 20,893,163 | 146,252,141 |
| -1 | -7 | -31 | -101 | -217 | -707 | -3,131 | -6,673 | -21,917 | -46,711 | -206,863 | -673,973 | -1,448,041 | -4,717,811 | -20,893,163 | -146,252,141 |
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