A:
Positive:
1 x 1011815755 x 2023631511 x 919832525 x 404726355 x 1839665139 x 727925275 x 367933695 x 1455851529 x 661752647 x 382253475 x 291177645 x 13235
Negative:
-1 x -101181575-5 x -20236315-11 x -9198325-25 x -4047263-55 x -1839665-139 x -727925-275 x -367933-695 x -145585-1529 x -66175-2647 x -38225-3475 x -29117-7645 x -13235
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 101,181,575, 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 | 101,181,575 | |
| -1 | -101,181,575 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,181,575.
Example:
1 x 101,181,575 = 101,181,575
and
-1 x -101,181,575 = 101,181,575
Notice both answers equal 101,181,575
With that explanation out of the way, let's continue. Next, we take the number 101,181,575 and divide it by 2:
101,181,575 ÷ 2 = 50,590,787.5
If the quotient is a whole number, then 2 and 50,590,787.5 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 | 101,181,575 | |
| -1 | -101,181,575 |
Now, we try dividing 101,181,575 by 3:
101,181,575 ÷ 3 = 33,727,191.6667
If the quotient is a whole number, then 3 and 33,727,191.6667 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 | 101,181,575 | |
| -1 | -101,181,575 |
Let's try dividing by 4:
101,181,575 ÷ 4 = 25,295,393.75
If the quotient is a whole number, then 4 and 25,295,393.75 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 | 101,181,575 | |
| -1 | 101,181,575 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 139 | 275 | 695 | 1,529 | 2,647 | 3,475 | 7,645 | 13,235 | 29,117 | 38,225 | 66,175 | 145,585 | 367,933 | 727,925 | 1,839,665 | 4,047,263 | 9,198,325 | 20,236,315 | 101,181,575 |
| -1 | -5 | -11 | -25 | -55 | -139 | -275 | -695 | -1,529 | -2,647 | -3,475 | -7,645 | -13,235 | -29,117 | -38,225 | -66,175 | -145,585 | -367,933 | -727,925 | -1,839,665 | -4,047,263 | -9,198,325 | -20,236,315 | -101,181,575 |
Here are some more numbers to try:
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