A:
Positive:
1 x 235061455 x 470122913 x 180816565 x 361633103 x 228215515 x 456431339 x 175553511 x 6695
Negative:
-1 x -23506145-5 x -4701229-13 x -1808165-65 x -361633-103 x -228215-515 x -45643-1339 x -17555-3511 x -6695
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 23,506,145, 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 | 23,506,145 | |
| -1 | -23,506,145 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,506,145.
Example:
1 x 23,506,145 = 23,506,145
and
-1 x -23,506,145 = 23,506,145
Notice both answers equal 23,506,145
With that explanation out of the way, let's continue. Next, we take the number 23,506,145 and divide it by 2:
23,506,145 ÷ 2 = 11,753,072.5
If the quotient is a whole number, then 2 and 11,753,072.5 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 | 23,506,145 | |
| -1 | -23,506,145 |
Now, we try dividing 23,506,145 by 3:
23,506,145 ÷ 3 = 7,835,381.6667
If the quotient is a whole number, then 3 and 7,835,381.6667 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 | 23,506,145 | |
| -1 | -23,506,145 |
Let's try dividing by 4:
23,506,145 ÷ 4 = 5,876,536.25
If the quotient is a whole number, then 4 and 5,876,536.25 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 | 23,506,145 | |
| -1 | 23,506,145 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 103 | 515 | 1,339 | 3,511 | 6,695 | 17,555 | 45,643 | 228,215 | 361,633 | 1,808,165 | 4,701,229 | 23,506,145 |
| -1 | -5 | -13 | -65 | -103 | -515 | -1,339 | -3,511 | -6,695 | -17,555 | -45,643 | -228,215 | -361,633 | -1,808,165 | -4,701,229 | -23,506,145 |
Here are some more numbers to try:
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