Q: What are the factor combinations of the number 403,043,225?

 A:
Positive:   1 x 4030432255 x 8060864513 x 3100332517 x 2370842525 x 1612172965 x 620066585 x 4741685221 x 1823725325 x 1240133425 x 9483371105 x 3647455525 x 72949
Negative: -1 x -403043225-5 x -80608645-13 x -31003325-17 x -23708425-25 x -16121729-65 x -6200665-85 x -4741685-221 x -1823725-325 x -1240133-425 x -948337-1105 x -364745-5525 x -72949


How do I find the factor combinations of the number 403,043,225?

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 403,043,225, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 403,043,225
-1 -403,043,225

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 403,043,225.

Example:
1 x 403,043,225 = 403,043,225
and
-1 x -403,043,225 = 403,043,225
Notice both answers equal 403,043,225

With that explanation out of the way, let's continue. Next, we take the number 403,043,225 and divide it by 2:

403,043,225 ÷ 2 = 201,521,612.5

If the quotient is a whole number, then 2 and 201,521,612.5 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:

1 403,043,225
-1 -403,043,225

Now, we try dividing 403,043,225 by 3:

403,043,225 ÷ 3 = 134,347,741.6667

If the quotient is a whole number, then 3 and 134,347,741.6667 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:

1 403,043,225
-1 -403,043,225

Let's try dividing by 4:

403,043,225 ÷ 4 = 100,760,806.25

If the quotient is a whole number, then 4 and 100,760,806.25 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:

1 403,043,225
-1 403,043,225
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1513172565852213254251,1055,52572,949364,745948,3371,240,1331,823,7254,741,6856,200,66516,121,72923,708,42531,003,32580,608,645403,043,225
-1-5-13-17-25-65-85-221-325-425-1,105-5,525-72,949-364,745-948,337-1,240,133-1,823,725-4,741,685-6,200,665-16,121,729-23,708,425-31,003,325-80,608,645-403,043,225

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