A:
Positive:
1 x 460604743101 x 4560443127 x 3626809149 x 3091307241 x 191122312827 x 3590915049 x 3060718923 x 24341
Negative:
-1 x -460604743-101 x -4560443-127 x -3626809-149 x -3091307-241 x -1911223-12827 x -35909-15049 x -30607-18923 x -24341
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 460,604,743, 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 | 460,604,743 | |
| -1 | -460,604,743 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 460,604,743.
Example:
1 x 460,604,743 = 460,604,743
and
-1 x -460,604,743 = 460,604,743
Notice both answers equal 460,604,743
With that explanation out of the way, let's continue. Next, we take the number 460,604,743 and divide it by 2:
460,604,743 ÷ 2 = 230,302,371.5
If the quotient is a whole number, then 2 and 230,302,371.5 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 | 460,604,743 | |
| -1 | -460,604,743 |
Now, we try dividing 460,604,743 by 3:
460,604,743 ÷ 3 = 153,534,914.3333
If the quotient is a whole number, then 3 and 153,534,914.3333 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 | 460,604,743 | |
| -1 | -460,604,743 |
Let's try dividing by 4:
460,604,743 ÷ 4 = 115,151,185.75
If the quotient is a whole number, then 4 and 115,151,185.75 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 | 460,604,743 | |
| -1 | 460,604,743 |
If you did it right, you will end up with this table:
| 1 | 101 | 127 | 149 | 241 | 12,827 | 15,049 | 18,923 | 24,341 | 30,607 | 35,909 | 1,911,223 | 3,091,307 | 3,626,809 | 4,560,443 | 460,604,743 |
| -1 | -101 | -127 | -149 | -241 | -12,827 | -15,049 | -18,923 | -24,341 | -30,607 | -35,909 | -1,911,223 | -3,091,307 | -3,626,809 | -4,560,443 | -460,604,743 |
Here are some more numbers to try:
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