A:
Positive:
1 x 3023121017 x 4318744313 x 2325477791 x 3322111169 x 1788829421 x 718081607 x 4980431183 x 2555472947 x 1025834249 x 711495473 x 552377891 x 38311
Negative:
-1 x -302312101-7 x -43187443-13 x -23254777-91 x -3322111-169 x -1788829-421 x -718081-607 x -498043-1183 x -255547-2947 x -102583-4249 x -71149-5473 x -55237-7891 x -38311
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 302,312,101, 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 | 302,312,101 | |
| -1 | -302,312,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 302,312,101.
Example:
1 x 302,312,101 = 302,312,101
and
-1 x -302,312,101 = 302,312,101
Notice both answers equal 302,312,101
With that explanation out of the way, let's continue. Next, we take the number 302,312,101 and divide it by 2:
302,312,101 ÷ 2 = 151,156,050.5
If the quotient is a whole number, then 2 and 151,156,050.5 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 | 302,312,101 | |
| -1 | -302,312,101 |
Now, we try dividing 302,312,101 by 3:
302,312,101 ÷ 3 = 100,770,700.3333
If the quotient is a whole number, then 3 and 100,770,700.3333 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 | 302,312,101 | |
| -1 | -302,312,101 |
Let's try dividing by 4:
302,312,101 ÷ 4 = 75,578,025.25
If the quotient is a whole number, then 4 and 75,578,025.25 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 | 302,312,101 | |
| -1 | 302,312,101 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 169 | 421 | 607 | 1,183 | 2,947 | 4,249 | 5,473 | 7,891 | 38,311 | 55,237 | 71,149 | 102,583 | 255,547 | 498,043 | 718,081 | 1,788,829 | 3,322,111 | 23,254,777 | 43,187,443 | 302,312,101 |
| -1 | -7 | -13 | -91 | -169 | -421 | -607 | -1,183 | -2,947 | -4,249 | -5,473 | -7,891 | -38,311 | -55,237 | -71,149 | -102,583 | -255,547 | -498,043 | -718,081 | -1,788,829 | -3,322,111 | -23,254,777 | -43,187,443 | -302,312,101 |
Here are some more numbers to try:
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