A:
Positive:
1 x 4010231055 x 802046217 x 5728901535 x 1145780349 x 8184145245 x 1636829743 x 5397352203 x 1820353715 x 1079475201 x 7710511015 x 3640715421 x 26005
Negative:
-1 x -401023105-5 x -80204621-7 x -57289015-35 x -11457803-49 x -8184145-245 x -1636829-743 x -539735-2203 x -182035-3715 x -107947-5201 x -77105-11015 x -36407-15421 x -26005
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 401,023,105, 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 | 401,023,105 | |
| -1 | -401,023,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 401,023,105.
Example:
1 x 401,023,105 = 401,023,105
and
-1 x -401,023,105 = 401,023,105
Notice both answers equal 401,023,105
With that explanation out of the way, let's continue. Next, we take the number 401,023,105 and divide it by 2:
401,023,105 ÷ 2 = 200,511,552.5
If the quotient is a whole number, then 2 and 200,511,552.5 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 | 401,023,105 | |
| -1 | -401,023,105 |
Now, we try dividing 401,023,105 by 3:
401,023,105 ÷ 3 = 133,674,368.3333
If the quotient is a whole number, then 3 and 133,674,368.3333 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 | 401,023,105 | |
| -1 | -401,023,105 |
Let's try dividing by 4:
401,023,105 ÷ 4 = 100,255,776.25
If the quotient is a whole number, then 4 and 100,255,776.25 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 | 401,023,105 | |
| -1 | 401,023,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 49 | 245 | 743 | 2,203 | 3,715 | 5,201 | 11,015 | 15,421 | 26,005 | 36,407 | 77,105 | 107,947 | 182,035 | 539,735 | 1,636,829 | 8,184,145 | 11,457,803 | 57,289,015 | 80,204,621 | 401,023,105 |
| -1 | -5 | -7 | -35 | -49 | -245 | -743 | -2,203 | -3,715 | -5,201 | -11,015 | -15,421 | -26,005 | -36,407 | -77,105 | -107,947 | -182,035 | -539,735 | -1,636,829 | -8,184,145 | -11,457,803 | -57,289,015 | -80,204,621 | -401,023,105 |
Here are some more numbers to try:
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