Q: What are the factor combinations of the number 125,015,033?

 A:
Positive:   1 x 12501503311 x 1136500313 x 961654131 x 4032743143 x 874231341 x 366613403 x 3102114433 x 28201
Negative: -1 x -125015033-11 x -11365003-13 x -9616541-31 x -4032743-143 x -874231-341 x -366613-403 x -310211-4433 x -28201


How do I find the factor combinations of the number 125,015,033?

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 125,015,033, 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.

1 125,015,033
-1 -125,015,033

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 125,015,033.

Example:
1 x 125,015,033 = 125,015,033
and
-1 x -125,015,033 = 125,015,033
Notice both answers equal 125,015,033

With that explanation out of the way, let's continue. Next, we take the number 125,015,033 and divide it by 2:

125,015,033 ÷ 2 = 62,507,516.5

If the quotient is a whole number, then 2 and 62,507,516.5 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:

1 125,015,033
-1 -125,015,033

Now, we try dividing 125,015,033 by 3:

125,015,033 ÷ 3 = 41,671,677.6667

If the quotient is a whole number, then 3 and 41,671,677.6667 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:

1 125,015,033
-1 -125,015,033

Let's try dividing by 4:

125,015,033 ÷ 4 = 31,253,758.25

If the quotient is a whole number, then 4 and 31,253,758.25 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:

1 125,015,033
-1 125,015,033
Keep dividing by the next highest number until you cannot divide anymore.

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

11113311433414034,43328,201310,211366,613874,2314,032,7439,616,54111,365,003125,015,033
-1-11-13-31-143-341-403-4,433-28,201-310,211-366,613-874,231-4,032,743-9,616,541-11,365,003-125,015,033

More Examples

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