A:
Positive:
1 x 10121031713 x 778540947 x 2153411151 x 670267611 x 1656471097 x 922611963 x 515597097 x 14261
Negative:
-1 x -101210317-13 x -7785409-47 x -2153411-151 x -670267-611 x -165647-1097 x -92261-1963 x -51559-7097 x -14261
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 101,210,317, 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 | 101,210,317 | |
| -1 | -101,210,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,210,317.
Example:
1 x 101,210,317 = 101,210,317
and
-1 x -101,210,317 = 101,210,317
Notice both answers equal 101,210,317
With that explanation out of the way, let's continue. Next, we take the number 101,210,317 and divide it by 2:
101,210,317 ÷ 2 = 50,605,158.5
If the quotient is a whole number, then 2 and 50,605,158.5 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 | 101,210,317 | |
| -1 | -101,210,317 |
Now, we try dividing 101,210,317 by 3:
101,210,317 ÷ 3 = 33,736,772.3333
If the quotient is a whole number, then 3 and 33,736,772.3333 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 | 101,210,317 | |
| -1 | -101,210,317 |
Let's try dividing by 4:
101,210,317 ÷ 4 = 25,302,579.25
If the quotient is a whole number, then 4 and 25,302,579.25 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 | 101,210,317 | |
| -1 | 101,210,317 |
If you did it right, you will end up with this table:
| 1 | 13 | 47 | 151 | 611 | 1,097 | 1,963 | 7,097 | 14,261 | 51,559 | 92,261 | 165,647 | 670,267 | 2,153,411 | 7,785,409 | 101,210,317 |
| -1 | -13 | -47 | -151 | -611 | -1,097 | -1,963 | -7,097 | -14,261 | -51,559 | -92,261 | -165,647 | -670,267 | -2,153,411 | -7,785,409 | -101,210,317 |
Here are some more numbers to try:
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