A:
Positive:
1 x 17402173113 x 1338628743 x 4047017193 x 901667559 x 3113091613 x 1078872509 x 693598299 x 20969
Negative:
-1 x -174021731-13 x -13386287-43 x -4047017-193 x -901667-559 x -311309-1613 x -107887-2509 x -69359-8299 x -20969
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 174,021,731, 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 | 174,021,731 | |
| -1 | -174,021,731 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 174,021,731.
Example:
1 x 174,021,731 = 174,021,731
and
-1 x -174,021,731 = 174,021,731
Notice both answers equal 174,021,731
With that explanation out of the way, let's continue. Next, we take the number 174,021,731 and divide it by 2:
174,021,731 ÷ 2 = 87,010,865.5
If the quotient is a whole number, then 2 and 87,010,865.5 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 | 174,021,731 | |
| -1 | -174,021,731 |
Now, we try dividing 174,021,731 by 3:
174,021,731 ÷ 3 = 58,007,243.6667
If the quotient is a whole number, then 3 and 58,007,243.6667 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 | 174,021,731 | |
| -1 | -174,021,731 |
Let's try dividing by 4:
174,021,731 ÷ 4 = 43,505,432.75
If the quotient is a whole number, then 4 and 43,505,432.75 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 | 174,021,731 | |
| -1 | 174,021,731 |
If you did it right, you will end up with this table:
| 1 | 13 | 43 | 193 | 559 | 1,613 | 2,509 | 8,299 | 20,969 | 69,359 | 107,887 | 311,309 | 901,667 | 4,047,017 | 13,386,287 | 174,021,731 |
| -1 | -13 | -43 | -193 | -559 | -1,613 | -2,509 | -8,299 | -20,969 | -69,359 | -107,887 | -311,309 | -901,667 | -4,047,017 | -13,386,287 | -174,021,731 |
Here are some more numbers to try:
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