A:
Positive:
1 x 43614000723 x 1896260971 x 6142817103 x 42343691633 x 2670792369 x 1841032593 x 1681997313 x 59639
Negative:
-1 x -436140007-23 x -18962609-71 x -6142817-103 x -4234369-1633 x -267079-2369 x -184103-2593 x -168199-7313 x -59639
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 436,140,007, 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 | 436,140,007 | |
| -1 | -436,140,007 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 436,140,007.
Example:
1 x 436,140,007 = 436,140,007
and
-1 x -436,140,007 = 436,140,007
Notice both answers equal 436,140,007
With that explanation out of the way, let's continue. Next, we take the number 436,140,007 and divide it by 2:
436,140,007 ÷ 2 = 218,070,003.5
If the quotient is a whole number, then 2 and 218,070,003.5 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 | 436,140,007 | |
| -1 | -436,140,007 |
Now, we try dividing 436,140,007 by 3:
436,140,007 ÷ 3 = 145,380,002.3333
If the quotient is a whole number, then 3 and 145,380,002.3333 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 | 436,140,007 | |
| -1 | -436,140,007 |
Let's try dividing by 4:
436,140,007 ÷ 4 = 109,035,001.75
If the quotient is a whole number, then 4 and 109,035,001.75 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 | 436,140,007 | |
| -1 | 436,140,007 |
If you did it right, you will end up with this table:
| 1 | 23 | 71 | 103 | 1,633 | 2,369 | 2,593 | 7,313 | 59,639 | 168,199 | 184,103 | 267,079 | 4,234,369 | 6,142,817 | 18,962,609 | 436,140,007 |
| -1 | -23 | -71 | -103 | -1,633 | -2,369 | -2,593 | -7,313 | -59,639 | -168,199 | -184,103 | -267,079 | -4,234,369 | -6,142,817 | -18,962,609 | -436,140,007 |
Here are some more numbers to try:
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