Q: What are the factor combinations of the number 125,042,333?

 A:
Positive:   1 x 12504233313 x 961864141 x 3049813379 x 329927533 x 234601619 x 2020074927 x 253798047 x 15539
Negative: -1 x -125042333-13 x -9618641-41 x -3049813-379 x -329927-533 x -234601-619 x -202007-4927 x -25379-8047 x -15539


How do I find the factor combinations of the number 125,042,333?

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 125,042,333, 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.

1 125,042,333
-1 -125,042,333

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 125,042,333.

Example:
1 x 125,042,333 = 125,042,333
and
-1 x -125,042,333 = 125,042,333
Notice both answers equal 125,042,333

With that explanation out of the way, let's continue. Next, we take the number 125,042,333 and divide it by 2:

125,042,333 ÷ 2 = 62,521,166.5

If the quotient is a whole number, then 2 and 62,521,166.5 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:

1 125,042,333
-1 -125,042,333

Now, we try dividing 125,042,333 by 3:

125,042,333 ÷ 3 = 41,680,777.6667

If the quotient is a whole number, then 3 and 41,680,777.6667 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:

1 125,042,333
-1 -125,042,333

Let's try dividing by 4:

125,042,333 ÷ 4 = 31,260,583.25

If the quotient is a whole number, then 4 and 31,260,583.25 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:

1 125,042,333
-1 125,042,333
Keep dividing by the next highest number until you cannot divide anymore.

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

113413795336194,9278,04715,53925,379202,007234,601329,9273,049,8139,618,641125,042,333
-1-13-41-379-533-619-4,927-8,047-15,539-25,379-202,007-234,601-329,927-3,049,813-9,618,641-125,042,333

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