A:
Positive:
1 x 3143023037 x 4490032971 x 442679373 x 4305511497 x 632399511 x 6150735183 x 606418663 x 36281
Negative:
-1 x -314302303-7 x -44900329-71 x -4426793-73 x -4305511-497 x -632399-511 x -615073-5183 x -60641-8663 x -36281
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 314,302,303, 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 | 314,302,303 | |
| -1 | -314,302,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,302,303.
Example:
1 x 314,302,303 = 314,302,303
and
-1 x -314,302,303 = 314,302,303
Notice both answers equal 314,302,303
With that explanation out of the way, let's continue. Next, we take the number 314,302,303 and divide it by 2:
314,302,303 ÷ 2 = 157,151,151.5
If the quotient is a whole number, then 2 and 157,151,151.5 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 | 314,302,303 | |
| -1 | -314,302,303 |
Now, we try dividing 314,302,303 by 3:
314,302,303 ÷ 3 = 104,767,434.3333
If the quotient is a whole number, then 3 and 104,767,434.3333 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 | 314,302,303 | |
| -1 | -314,302,303 |
Let's try dividing by 4:
314,302,303 ÷ 4 = 78,575,575.75
If the quotient is a whole number, then 4 and 78,575,575.75 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 | 314,302,303 | |
| -1 | 314,302,303 |
If you did it right, you will end up with this table:
| 1 | 7 | 71 | 73 | 497 | 511 | 5,183 | 8,663 | 36,281 | 60,641 | 615,073 | 632,399 | 4,305,511 | 4,426,793 | 44,900,329 | 314,302,303 |
| -1 | -7 | -71 | -73 | -497 | -511 | -5,183 | -8,663 | -36,281 | -60,641 | -615,073 | -632,399 | -4,305,511 | -4,426,793 | -44,900,329 | -314,302,303 |
Here are some more numbers to try:
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