A:
Positive:
1 x 28135327319 x 1480806723 x 1223275129 x 9701837149 x 1888277437 x 643829551 x 510623667 x 4218192831 x 993833427 x 820994321 x 6511312673 x 22201
Negative:
-1 x -281353273-19 x -14808067-23 x -12232751-29 x -9701837-149 x -1888277-437 x -643829-551 x -510623-667 x -421819-2831 x -99383-3427 x -82099-4321 x -65113-12673 x -22201
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 281,353,273, 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 | 281,353,273 | |
| -1 | -281,353,273 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 281,353,273.
Example:
1 x 281,353,273 = 281,353,273
and
-1 x -281,353,273 = 281,353,273
Notice both answers equal 281,353,273
With that explanation out of the way, let's continue. Next, we take the number 281,353,273 and divide it by 2:
281,353,273 ÷ 2 = 140,676,636.5
If the quotient is a whole number, then 2 and 140,676,636.5 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 | 281,353,273 | |
| -1 | -281,353,273 |
Now, we try dividing 281,353,273 by 3:
281,353,273 ÷ 3 = 93,784,424.3333
If the quotient is a whole number, then 3 and 93,784,424.3333 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 | 281,353,273 | |
| -1 | -281,353,273 |
Let's try dividing by 4:
281,353,273 ÷ 4 = 70,338,318.25
If the quotient is a whole number, then 4 and 70,338,318.25 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 | 281,353,273 | |
| -1 | 281,353,273 |
If you did it right, you will end up with this table:
| 1 | 19 | 23 | 29 | 149 | 437 | 551 | 667 | 2,831 | 3,427 | 4,321 | 12,673 | 22,201 | 65,113 | 82,099 | 99,383 | 421,819 | 510,623 | 643,829 | 1,888,277 | 9,701,837 | 12,232,751 | 14,808,067 | 281,353,273 |
| -1 | -19 | -23 | -29 | -149 | -437 | -551 | -667 | -2,831 | -3,427 | -4,321 | -12,673 | -22,201 | -65,113 | -82,099 | -99,383 | -421,819 | -510,623 | -643,829 | -1,888,277 | -9,701,837 | -12,232,751 | -14,808,067 | -281,353,273 |
Here are some more numbers to try:
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