A:
Positive:
1 x 10131460911 x 921041923 x 4404983253 x 400453529 x 191521757 x 1338375819 x 174118327 x 12167
Negative:
-1 x -101314609-11 x -9210419-23 x -4404983-253 x -400453-529 x -191521-757 x -133837-5819 x -17411-8327 x -12167
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 101,314,609, 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 | 101,314,609 | |
| -1 | -101,314,609 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,314,609.
Example:
1 x 101,314,609 = 101,314,609
and
-1 x -101,314,609 = 101,314,609
Notice both answers equal 101,314,609
With that explanation out of the way, let's continue. Next, we take the number 101,314,609 and divide it by 2:
101,314,609 ÷ 2 = 50,657,304.5
If the quotient is a whole number, then 2 and 50,657,304.5 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 | 101,314,609 | |
| -1 | -101,314,609 |
Now, we try dividing 101,314,609 by 3:
101,314,609 ÷ 3 = 33,771,536.3333
If the quotient is a whole number, then 3 and 33,771,536.3333 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 | 101,314,609 | |
| -1 | -101,314,609 |
Let's try dividing by 4:
101,314,609 ÷ 4 = 25,328,652.25
If the quotient is a whole number, then 4 and 25,328,652.25 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 | 101,314,609 | |
| -1 | 101,314,609 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 253 | 529 | 757 | 5,819 | 8,327 | 12,167 | 17,411 | 133,837 | 191,521 | 400,453 | 4,404,983 | 9,210,419 | 101,314,609 |
| -1 | -11 | -23 | -253 | -529 | -757 | -5,819 | -8,327 | -12,167 | -17,411 | -133,837 | -191,521 | -400,453 | -4,404,983 | -9,210,419 | -101,314,609 |
Here are some more numbers to try:
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