A:
Positive:
1 x 7246755 x 1449357 x 10352525 x 2898735 x 2070541 x 17675101 x 7175175 x 4141205 x 3535287 x 2525505 x 1435707 x 1025
Negative:
-1 x -724675-5 x -144935-7 x -103525-25 x -28987-35 x -20705-41 x -17675-101 x -7175-175 x -4141-205 x -3535-287 x -2525-505 x -1435-707 x -1025
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 724,675, 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 | 724,675 | |
| -1 | -724,675 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 724,675.
Example:
1 x 724,675 = 724,675
and
-1 x -724,675 = 724,675
Notice both answers equal 724,675
With that explanation out of the way, let's continue. Next, we take the number 724,675 and divide it by 2:
724,675 ÷ 2 = 362,337.5
If the quotient is a whole number, then 2 and 362,337.5 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 | 724,675 | |
| -1 | -724,675 |
Now, we try dividing 724,675 by 3:
724,675 ÷ 3 = 241,558.3333
If the quotient is a whole number, then 3 and 241,558.3333 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 | 724,675 | |
| -1 | -724,675 |
Let's try dividing by 4:
724,675 ÷ 4 = 181,168.75
If the quotient is a whole number, then 4 and 181,168.75 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 | 724,675 | |
| -1 | 724,675 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 41 | 101 | 175 | 205 | 287 | 505 | 707 | 1,025 | 1,435 | 2,525 | 3,535 | 4,141 | 7,175 | 17,675 | 20,705 | 28,987 | 103,525 | 144,935 | 724,675 |
| -1 | -5 | -7 | -25 | -35 | -41 | -101 | -175 | -205 | -287 | -505 | -707 | -1,025 | -1,435 | -2,525 | -3,535 | -4,141 | -7,175 | -17,675 | -20,705 | -28,987 | -103,525 | -144,935 | -724,675 |
Here are some more numbers to try:
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