Q: What are the factor combinations of the number 338,248,189?

 A:
Positive:   1 x 33824818923 x 1470644371 x 4764059103 x 32839631633 x 2071332011 x 1681992369 x 1427817313 x 46253
Negative: -1 x -338248189-23 x -14706443-71 x -4764059-103 x -3283963-1633 x -207133-2011 x -168199-2369 x -142781-7313 x -46253


How do I find the factor combinations of the number 338,248,189?

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 338,248,189, 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.

1 338,248,189
-1 -338,248,189

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 338,248,189.

Example:
1 x 338,248,189 = 338,248,189
and
-1 x -338,248,189 = 338,248,189
Notice both answers equal 338,248,189

With that explanation out of the way, let's continue. Next, we take the number 338,248,189 and divide it by 2:

338,248,189 ÷ 2 = 169,124,094.5

If the quotient is a whole number, then 2 and 169,124,094.5 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:

1 338,248,189
-1 -338,248,189

Now, we try dividing 338,248,189 by 3:

338,248,189 ÷ 3 = 112,749,396.3333

If the quotient is a whole number, then 3 and 112,749,396.3333 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:

1 338,248,189
-1 -338,248,189

Let's try dividing by 4:

338,248,189 ÷ 4 = 84,562,047.25

If the quotient is a whole number, then 4 and 84,562,047.25 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:

1 338,248,189
-1 338,248,189
Keep dividing by the next highest number until you cannot divide anymore.

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

123711031,6332,0112,3697,31346,253142,781168,199207,1333,283,9634,764,05914,706,443338,248,189
-1-23-71-103-1,633-2,011-2,369-7,313-46,253-142,781-168,199-207,133-3,283,963-4,764,059-14,706,443-338,248,189

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