Q: What are the factor combinations of the number 332,028,163?

 A:
Positive:   1 x 33202816329 x 1144924747 x 706442971 x 467645373 x 45483311363 x 2436012059 x 1612572117 x 1568392209 x 1503073337 x 994993431 x 967735183 x 64061
Negative: -1 x -332028163-29 x -11449247-47 x -7064429-71 x -4676453-73 x -4548331-1363 x -243601-2059 x -161257-2117 x -156839-2209 x -150307-3337 x -99499-3431 x -96773-5183 x -64061


How do I find the factor combinations of the number 332,028,163?

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 332,028,163, 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.

1 332,028,163
-1 -332,028,163

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 332,028,163.

Example:
1 x 332,028,163 = 332,028,163
and
-1 x -332,028,163 = 332,028,163
Notice both answers equal 332,028,163

With that explanation out of the way, let's continue. Next, we take the number 332,028,163 and divide it by 2:

332,028,163 ÷ 2 = 166,014,081.5

If the quotient is a whole number, then 2 and 166,014,081.5 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:

1 332,028,163
-1 -332,028,163

Now, we try dividing 332,028,163 by 3:

332,028,163 ÷ 3 = 110,676,054.3333

If the quotient is a whole number, then 3 and 110,676,054.3333 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:

1 332,028,163
-1 -332,028,163

Let's try dividing by 4:

332,028,163 ÷ 4 = 83,007,040.75

If the quotient is a whole number, then 4 and 83,007,040.75 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:

1 332,028,163
-1 332,028,163
Keep dividing by the next highest number until you cannot divide anymore.

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

1294771731,3632,0592,1172,2093,3373,4315,18364,06196,77399,499150,307156,839161,257243,6014,548,3314,676,4537,064,42911,449,247332,028,163
-1-29-47-71-73-1,363-2,059-2,117-2,209-3,337-3,431-5,183-64,061-96,773-99,499-150,307-156,839-161,257-243,601-4,548,331-4,676,453-7,064,429-11,449,247-332,028,163

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