A:
Positive:
1 x 2330530255 x 4661060525 x 932212147 x 4958575235 x 991715241 x 967025823 x 2831751175 x 1983431205 x 1934054115 x 566356025 x 3868111327 x 20575
Negative:
-1 x -233053025-5 x -46610605-25 x -9322121-47 x -4958575-235 x -991715-241 x -967025-823 x -283175-1175 x -198343-1205 x -193405-4115 x -56635-6025 x -38681-11327 x -20575
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 233,053,025, 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 | 233,053,025 | |
| -1 | -233,053,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,053,025.
Example:
1 x 233,053,025 = 233,053,025
and
-1 x -233,053,025 = 233,053,025
Notice both answers equal 233,053,025
With that explanation out of the way, let's continue. Next, we take the number 233,053,025 and divide it by 2:
233,053,025 ÷ 2 = 116,526,512.5
If the quotient is a whole number, then 2 and 116,526,512.5 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 | 233,053,025 | |
| -1 | -233,053,025 |
Now, we try dividing 233,053,025 by 3:
233,053,025 ÷ 3 = 77,684,341.6667
If the quotient is a whole number, then 3 and 77,684,341.6667 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 | 233,053,025 | |
| -1 | -233,053,025 |
Let's try dividing by 4:
233,053,025 ÷ 4 = 58,263,256.25
If the quotient is a whole number, then 4 and 58,263,256.25 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 | 233,053,025 | |
| -1 | 233,053,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 47 | 235 | 241 | 823 | 1,175 | 1,205 | 4,115 | 6,025 | 11,327 | 20,575 | 38,681 | 56,635 | 193,405 | 198,343 | 283,175 | 967,025 | 991,715 | 4,958,575 | 9,322,121 | 46,610,605 | 233,053,025 |
| -1 | -5 | -25 | -47 | -235 | -241 | -823 | -1,175 | -1,205 | -4,115 | -6,025 | -11,327 | -20,575 | -38,681 | -56,635 | -193,405 | -198,343 | -283,175 | -967,025 | -991,715 | -4,958,575 | -9,322,121 | -46,610,605 | -233,053,025 |
Here are some more numbers to try:
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