A:
Positive:
1 x 4403530255 x 880706057 x 6290757519 x 2317647525 x 1761412135 x 1258151595 x 4635295133 x 3310925175 x 2516303475 x 927059665 x 6621853325 x 132437
Negative:
-1 x -440353025-5 x -88070605-7 x -62907575-19 x -23176475-25 x -17614121-35 x -12581515-95 x -4635295-133 x -3310925-175 x -2516303-475 x -927059-665 x -662185-3325 x -132437
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 440,353,025, 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 | 440,353,025 | |
| -1 | -440,353,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 440,353,025.
Example:
1 x 440,353,025 = 440,353,025
and
-1 x -440,353,025 = 440,353,025
Notice both answers equal 440,353,025
With that explanation out of the way, let's continue. Next, we take the number 440,353,025 and divide it by 2:
440,353,025 ÷ 2 = 220,176,512.5
If the quotient is a whole number, then 2 and 220,176,512.5 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 | 440,353,025 | |
| -1 | -440,353,025 |
Now, we try dividing 440,353,025 by 3:
440,353,025 ÷ 3 = 146,784,341.6667
If the quotient is a whole number, then 3 and 146,784,341.6667 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 | 440,353,025 | |
| -1 | -440,353,025 |
Let's try dividing by 4:
440,353,025 ÷ 4 = 110,088,256.25
If the quotient is a whole number, then 4 and 110,088,256.25 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 | 440,353,025 | |
| -1 | 440,353,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 19 | 25 | 35 | 95 | 133 | 175 | 475 | 665 | 3,325 | 132,437 | 662,185 | 927,059 | 2,516,303 | 3,310,925 | 4,635,295 | 12,581,515 | 17,614,121 | 23,176,475 | 62,907,575 | 88,070,605 | 440,353,025 |
| -1 | -5 | -7 | -19 | -25 | -35 | -95 | -133 | -175 | -475 | -665 | -3,325 | -132,437 | -662,185 | -927,059 | -2,516,303 | -3,310,925 | -4,635,295 | -12,581,515 | -17,614,121 | -23,176,475 | -62,907,575 | -88,070,605 | -440,353,025 |
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