A:
Positive:
1 x 14603700111 x 1327609131 x 4710871109 x 1339789341 x 4282611199 x 1217993379 x 432193929 x 37169
Negative:
-1 x -146037001-11 x -13276091-31 x -4710871-109 x -1339789-341 x -428261-1199 x -121799-3379 x -43219-3929 x -37169
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 146,037,001, 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 | 146,037,001 | |
| -1 | -146,037,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 146,037,001.
Example:
1 x 146,037,001 = 146,037,001
and
-1 x -146,037,001 = 146,037,001
Notice both answers equal 146,037,001
With that explanation out of the way, let's continue. Next, we take the number 146,037,001 and divide it by 2:
146,037,001 ÷ 2 = 73,018,500.5
If the quotient is a whole number, then 2 and 73,018,500.5 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 | 146,037,001 | |
| -1 | -146,037,001 |
Now, we try dividing 146,037,001 by 3:
146,037,001 ÷ 3 = 48,679,000.3333
If the quotient is a whole number, then 3 and 48,679,000.3333 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 | 146,037,001 | |
| -1 | -146,037,001 |
Let's try dividing by 4:
146,037,001 ÷ 4 = 36,509,250.25
If the quotient is a whole number, then 4 and 36,509,250.25 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 | 146,037,001 | |
| -1 | 146,037,001 |
If you did it right, you will end up with this table:
| 1 | 11 | 31 | 109 | 341 | 1,199 | 3,379 | 3,929 | 37,169 | 43,219 | 121,799 | 428,261 | 1,339,789 | 4,710,871 | 13,276,091 | 146,037,001 |
| -1 | -11 | -31 | -109 | -341 | -1,199 | -3,379 | -3,929 | -37,169 | -43,219 | -121,799 | -428,261 | -1,339,789 | -4,710,871 | -13,276,091 | -146,037,001 |
Here are some more numbers to try:
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