A:
Positive:
1 x 232300255 x 46460057 x 331857513 x 178692525 x 92920135 x 66371565 x 35738591 x 255275175 x 132743325 x 71477455 x 510552275 x 10211
Negative:
-1 x -23230025-5 x -4646005-7 x -3318575-13 x -1786925-25 x -929201-35 x -663715-65 x -357385-91 x -255275-175 x -132743-325 x -71477-455 x -51055-2275 x -10211
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 23,230,025, 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 | 23,230,025 | |
| -1 | -23,230,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,230,025.
Example:
1 x 23,230,025 = 23,230,025
and
-1 x -23,230,025 = 23,230,025
Notice both answers equal 23,230,025
With that explanation out of the way, let's continue. Next, we take the number 23,230,025 and divide it by 2:
23,230,025 ÷ 2 = 11,615,012.5
If the quotient is a whole number, then 2 and 11,615,012.5 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 | 23,230,025 | |
| -1 | -23,230,025 |
Now, we try dividing 23,230,025 by 3:
23,230,025 ÷ 3 = 7,743,341.6667
If the quotient is a whole number, then 3 and 7,743,341.6667 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 | 23,230,025 | |
| -1 | -23,230,025 |
Let's try dividing by 4:
23,230,025 ÷ 4 = 5,807,506.25
If the quotient is a whole number, then 4 and 5,807,506.25 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 | 23,230,025 | |
| -1 | 23,230,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 25 | 35 | 65 | 91 | 175 | 325 | 455 | 2,275 | 10,211 | 51,055 | 71,477 | 132,743 | 255,275 | 357,385 | 663,715 | 929,201 | 1,786,925 | 3,318,575 | 4,646,005 | 23,230,025 |
| -1 | -5 | -7 | -13 | -25 | -35 | -65 | -91 | -175 | -325 | -455 | -2,275 | -10,211 | -51,055 | -71,477 | -132,743 | -255,275 | -357,385 | -663,715 | -929,201 | -1,786,925 | -3,318,575 | -4,646,005 | -23,230,025 |
Here are some more numbers to try:
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