A:
Positive:
1 x 345142155 x 690284347 x 734345227 x 152045235 x 146869647 x 533451135 x 304093235 x 10669
Negative:
-1 x -34514215-5 x -6902843-47 x -734345-227 x -152045-235 x -146869-647 x -53345-1135 x -30409-3235 x -10669
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 34,514,215, 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 | 34,514,215 | |
| -1 | -34,514,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 34,514,215.
Example:
1 x 34,514,215 = 34,514,215
and
-1 x -34,514,215 = 34,514,215
Notice both answers equal 34,514,215
With that explanation out of the way, let's continue. Next, we take the number 34,514,215 and divide it by 2:
34,514,215 ÷ 2 = 17,257,107.5
If the quotient is a whole number, then 2 and 17,257,107.5 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 | 34,514,215 | |
| -1 | -34,514,215 |
Now, we try dividing 34,514,215 by 3:
34,514,215 ÷ 3 = 11,504,738.3333
If the quotient is a whole number, then 3 and 11,504,738.3333 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 | 34,514,215 | |
| -1 | -34,514,215 |
Let's try dividing by 4:
34,514,215 ÷ 4 = 8,628,553.75
If the quotient is a whole number, then 4 and 8,628,553.75 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 | 34,514,215 | |
| -1 | 34,514,215 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 227 | 235 | 647 | 1,135 | 3,235 | 10,669 | 30,409 | 53,345 | 146,869 | 152,045 | 734,345 | 6,902,843 | 34,514,215 |
| -1 | -5 | -47 | -227 | -235 | -647 | -1,135 | -3,235 | -10,669 | -30,409 | -53,345 | -146,869 | -152,045 | -734,345 | -6,902,843 | -34,514,215 |
Here are some more numbers to try:
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