A:
Positive:
1 x 1726257617 x 2466082311 x 1569325177 x 22418931061 x 1627012113 x 816977427 x 2324311671 x 14791
Negative:
-1 x -172625761-7 x -24660823-11 x -15693251-77 x -2241893-1061 x -162701-2113 x -81697-7427 x -23243-11671 x -14791
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 172,625,761, 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 | 172,625,761 | |
| -1 | -172,625,761 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 172,625,761.
Example:
1 x 172,625,761 = 172,625,761
and
-1 x -172,625,761 = 172,625,761
Notice both answers equal 172,625,761
With that explanation out of the way, let's continue. Next, we take the number 172,625,761 and divide it by 2:
172,625,761 ÷ 2 = 86,312,880.5
If the quotient is a whole number, then 2 and 86,312,880.5 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 | 172,625,761 | |
| -1 | -172,625,761 |
Now, we try dividing 172,625,761 by 3:
172,625,761 ÷ 3 = 57,541,920.3333
If the quotient is a whole number, then 3 and 57,541,920.3333 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 | 172,625,761 | |
| -1 | -172,625,761 |
Let's try dividing by 4:
172,625,761 ÷ 4 = 43,156,440.25
If the quotient is a whole number, then 4 and 43,156,440.25 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 | 172,625,761 | |
| -1 | 172,625,761 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 1,061 | 2,113 | 7,427 | 11,671 | 14,791 | 23,243 | 81,697 | 162,701 | 2,241,893 | 15,693,251 | 24,660,823 | 172,625,761 |
| -1 | -7 | -11 | -77 | -1,061 | -2,113 | -7,427 | -11,671 | -14,791 | -23,243 | -81,697 | -162,701 | -2,241,893 | -15,693,251 | -24,660,823 | -172,625,761 |
Here are some more numbers to try:
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