A:
Positive:
1 x 350265055 x 700530141 x 85430561 x 574205205 x 170861305 x 1148412501 x 140052801 x 12505
Negative:
-1 x -35026505-5 x -7005301-41 x -854305-61 x -574205-205 x -170861-305 x -114841-2501 x -14005-2801 x -12505
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 35,026,505, 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 | 35,026,505 | |
| -1 | -35,026,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,026,505.
Example:
1 x 35,026,505 = 35,026,505
and
-1 x -35,026,505 = 35,026,505
Notice both answers equal 35,026,505
With that explanation out of the way, let's continue. Next, we take the number 35,026,505 and divide it by 2:
35,026,505 ÷ 2 = 17,513,252.5
If the quotient is a whole number, then 2 and 17,513,252.5 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 | 35,026,505 | |
| -1 | -35,026,505 |
Now, we try dividing 35,026,505 by 3:
35,026,505 ÷ 3 = 11,675,501.6667
If the quotient is a whole number, then 3 and 11,675,501.6667 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 | 35,026,505 | |
| -1 | -35,026,505 |
Let's try dividing by 4:
35,026,505 ÷ 4 = 8,756,626.25
If the quotient is a whole number, then 4 and 8,756,626.25 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 | 35,026,505 | |
| -1 | 35,026,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 41 | 61 | 205 | 305 | 2,501 | 2,801 | 12,505 | 14,005 | 114,841 | 170,861 | 574,205 | 854,305 | 7,005,301 | 35,026,505 |
| -1 | -5 | -41 | -61 | -205 | -305 | -2,501 | -2,801 | -12,505 | -14,005 | -114,841 | -170,861 | -574,205 | -854,305 | -7,005,301 | -35,026,505 |
Here are some more numbers to try:
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