A:
Positive:
1 x 2325744617 x 3322492329 x 8019809203 x 1145687229 x 10156091603 x 1450875003 x 464876641 x 35021
Negative:
-1 x -232574461-7 x -33224923-29 x -8019809-203 x -1145687-229 x -1015609-1603 x -145087-5003 x -46487-6641 x -35021
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 232,574,461, 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 | 232,574,461 | |
| -1 | -232,574,461 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,574,461.
Example:
1 x 232,574,461 = 232,574,461
and
-1 x -232,574,461 = 232,574,461
Notice both answers equal 232,574,461
With that explanation out of the way, let's continue. Next, we take the number 232,574,461 and divide it by 2:
232,574,461 ÷ 2 = 116,287,230.5
If the quotient is a whole number, then 2 and 116,287,230.5 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 | 232,574,461 | |
| -1 | -232,574,461 |
Now, we try dividing 232,574,461 by 3:
232,574,461 ÷ 3 = 77,524,820.3333
If the quotient is a whole number, then 3 and 77,524,820.3333 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 | 232,574,461 | |
| -1 | -232,574,461 |
Let's try dividing by 4:
232,574,461 ÷ 4 = 58,143,615.25
If the quotient is a whole number, then 4 and 58,143,615.25 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 | 232,574,461 | |
| -1 | 232,574,461 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 229 | 1,603 | 5,003 | 6,641 | 35,021 | 46,487 | 145,087 | 1,015,609 | 1,145,687 | 8,019,809 | 33,224,923 | 232,574,461 |
| -1 | -7 | -29 | -203 | -229 | -1,603 | -5,003 | -6,641 | -35,021 | -46,487 | -145,087 | -1,015,609 | -1,145,687 | -8,019,809 | -33,224,923 | -232,574,461 |
Here are some more numbers to try:
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