A:
Positive:
1 x 73121937 x 104459917 x 43012943 x 170051119 x 61447301 x 24293731 x 100031429 x 5117
Negative:
-1 x -7312193-7 x -1044599-17 x -430129-43 x -170051-119 x -61447-301 x -24293-731 x -10003-1429 x -5117
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 7,312,193, 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 | 7,312,193 | |
| -1 | -7,312,193 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,312,193.
Example:
1 x 7,312,193 = 7,312,193
and
-1 x -7,312,193 = 7,312,193
Notice both answers equal 7,312,193
With that explanation out of the way, let's continue. Next, we take the number 7,312,193 and divide it by 2:
7,312,193 ÷ 2 = 3,656,096.5
If the quotient is a whole number, then 2 and 3,656,096.5 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 | 7,312,193 | |
| -1 | -7,312,193 |
Now, we try dividing 7,312,193 by 3:
7,312,193 ÷ 3 = 2,437,397.6667
If the quotient is a whole number, then 3 and 2,437,397.6667 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 | 7,312,193 | |
| -1 | -7,312,193 |
Let's try dividing by 4:
7,312,193 ÷ 4 = 1,828,048.25
If the quotient is a whole number, then 4 and 1,828,048.25 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 | 7,312,193 | |
| -1 | 7,312,193 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 43 | 119 | 301 | 731 | 1,429 | 5,117 | 10,003 | 24,293 | 61,447 | 170,051 | 430,129 | 1,044,599 | 7,312,193 |
| -1 | -7 | -17 | -43 | -119 | -301 | -731 | -1,429 | -5,117 | -10,003 | -24,293 | -61,447 | -170,051 | -430,129 | -1,044,599 | -7,312,193 |
Here are some more numbers to try:
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