A:
Positive:
1 x 4010760255 x 802152057 x 5729657525 x 1604304135 x 1145931549 x 8185225175 x 2291863245 x 16370451225 x 327409
Negative:
-1 x -401076025-5 x -80215205-7 x -57296575-25 x -16043041-35 x -11459315-49 x -8185225-175 x -2291863-245 x -1637045-1225 x -327409
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 401,076,025, 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 | 401,076,025 | |
| -1 | -401,076,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 401,076,025.
Example:
1 x 401,076,025 = 401,076,025
and
-1 x -401,076,025 = 401,076,025
Notice both answers equal 401,076,025
With that explanation out of the way, let's continue. Next, we take the number 401,076,025 and divide it by 2:
401,076,025 ÷ 2 = 200,538,012.5
If the quotient is a whole number, then 2 and 200,538,012.5 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 | 401,076,025 | |
| -1 | -401,076,025 |
Now, we try dividing 401,076,025 by 3:
401,076,025 ÷ 3 = 133,692,008.3333
If the quotient is a whole number, then 3 and 133,692,008.3333 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 | 401,076,025 | |
| -1 | -401,076,025 |
Let's try dividing by 4:
401,076,025 ÷ 4 = 100,269,006.25
If the quotient is a whole number, then 4 and 100,269,006.25 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 | 401,076,025 | |
| -1 | 401,076,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 49 | 175 | 245 | 1,225 | 327,409 | 1,637,045 | 2,291,863 | 8,185,225 | 11,459,315 | 16,043,041 | 57,296,575 | 80,215,205 | 401,076,025 |
| -1 | -5 | -7 | -25 | -35 | -49 | -175 | -245 | -1,225 | -327,409 | -1,637,045 | -2,291,863 | -8,185,225 | -11,459,315 | -16,043,041 | -57,296,575 | -80,215,205 | -401,076,025 |
Here are some more numbers to try:
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