A:
Positive:
1 x 1010057517 x 1442939311 x 918234177 x 1311763241 x 4191111687 x 598732651 x 381015443 x 18557
Negative:
-1 x -101005751-7 x -14429393-11 x -9182341-77 x -1311763-241 x -419111-1687 x -59873-2651 x -38101-5443 x -18557
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 101,005,751, 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 | 101,005,751 | |
| -1 | -101,005,751 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,005,751.
Example:
1 x 101,005,751 = 101,005,751
and
-1 x -101,005,751 = 101,005,751
Notice both answers equal 101,005,751
With that explanation out of the way, let's continue. Next, we take the number 101,005,751 and divide it by 2:
101,005,751 ÷ 2 = 50,502,875.5
If the quotient is a whole number, then 2 and 50,502,875.5 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 | 101,005,751 | |
| -1 | -101,005,751 |
Now, we try dividing 101,005,751 by 3:
101,005,751 ÷ 3 = 33,668,583.6667
If the quotient is a whole number, then 3 and 33,668,583.6667 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 | 101,005,751 | |
| -1 | -101,005,751 |
Let's try dividing by 4:
101,005,751 ÷ 4 = 25,251,437.75
If the quotient is a whole number, then 4 and 25,251,437.75 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 | 101,005,751 | |
| -1 | 101,005,751 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 241 | 1,687 | 2,651 | 5,443 | 18,557 | 38,101 | 59,873 | 419,111 | 1,311,763 | 9,182,341 | 14,429,393 | 101,005,751 |
| -1 | -7 | -11 | -77 | -241 | -1,687 | -2,651 | -5,443 | -18,557 | -38,101 | -59,873 | -419,111 | -1,311,763 | -9,182,341 | -14,429,393 | -101,005,751 |
Here are some more numbers to try:
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