A:
Positive:
1 x 352054155 x 70410837 x 502934535 x 1005869293 x 1201551465 x 240312051 x 171653433 x 10255
Negative:
-1 x -35205415-5 x -7041083-7 x -5029345-35 x -1005869-293 x -120155-1465 x -24031-2051 x -17165-3433 x -10255
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 35,205,415, 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 | 35,205,415 | |
| -1 | -35,205,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,205,415.
Example:
1 x 35,205,415 = 35,205,415
and
-1 x -35,205,415 = 35,205,415
Notice both answers equal 35,205,415
With that explanation out of the way, let's continue. Next, we take the number 35,205,415 and divide it by 2:
35,205,415 ÷ 2 = 17,602,707.5
If the quotient is a whole number, then 2 and 17,602,707.5 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 | 35,205,415 | |
| -1 | -35,205,415 |
Now, we try dividing 35,205,415 by 3:
35,205,415 ÷ 3 = 11,735,138.3333
If the quotient is a whole number, then 3 and 11,735,138.3333 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 | 35,205,415 | |
| -1 | -35,205,415 |
Let's try dividing by 4:
35,205,415 ÷ 4 = 8,801,353.75
If the quotient is a whole number, then 4 and 8,801,353.75 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 | 35,205,415 | |
| -1 | 35,205,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 293 | 1,465 | 2,051 | 3,433 | 10,255 | 17,165 | 24,031 | 120,155 | 1,005,869 | 5,029,345 | 7,041,083 | 35,205,415 |
| -1 | -5 | -7 | -35 | -293 | -1,465 | -2,051 | -3,433 | -10,255 | -17,165 | -24,031 | -120,155 | -1,005,869 | -5,029,345 | -7,041,083 | -35,205,415 |
Here are some more numbers to try:
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