A:
Positive:
1 x 4657687455 x 9315374913 x 3582836523 x 2025081565 x 7165673115 x 4050163299 x 15577551495 x 311551
Negative:
-1 x -465768745-5 x -93153749-13 x -35828365-23 x -20250815-65 x -7165673-115 x -4050163-299 x -1557755-1495 x -311551
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 465,768,745, 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 | 465,768,745 | |
| -1 | -465,768,745 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 465,768,745.
Example:
1 x 465,768,745 = 465,768,745
and
-1 x -465,768,745 = 465,768,745
Notice both answers equal 465,768,745
With that explanation out of the way, let's continue. Next, we take the number 465,768,745 and divide it by 2:
465,768,745 ÷ 2 = 232,884,372.5
If the quotient is a whole number, then 2 and 232,884,372.5 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 | 465,768,745 | |
| -1 | -465,768,745 |
Now, we try dividing 465,768,745 by 3:
465,768,745 ÷ 3 = 155,256,248.3333
If the quotient is a whole number, then 3 and 155,256,248.3333 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 | 465,768,745 | |
| -1 | -465,768,745 |
Let's try dividing by 4:
465,768,745 ÷ 4 = 116,442,186.25
If the quotient is a whole number, then 4 and 116,442,186.25 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 | 465,768,745 | |
| -1 | 465,768,745 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 23 | 65 | 115 | 299 | 1,495 | 311,551 | 1,557,755 | 4,050,163 | 7,165,673 | 20,250,815 | 35,828,365 | 93,153,749 | 465,768,745 |
| -1 | -5 | -13 | -23 | -65 | -115 | -299 | -1,495 | -311,551 | -1,557,755 | -4,050,163 | -7,165,673 | -20,250,815 | -35,828,365 | -93,153,749 | -465,768,745 |
Here are some more numbers to try:
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