Q: What are the factor combinations of the number 125,072,299?

 A:
Positive:   1 x 12507229911 x 11370209193 x 6480432123 x 58913
Negative: -1 x -125072299-11 x -11370209-193 x -648043-2123 x -58913


How do I find the factor combinations of the number 125,072,299?

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 125,072,299, 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.

1 125,072,299
-1 -125,072,299

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 125,072,299.

Example:
1 x 125,072,299 = 125,072,299
and
-1 x -125,072,299 = 125,072,299
Notice both answers equal 125,072,299

With that explanation out of the way, let's continue. Next, we take the number 125,072,299 and divide it by 2:

125,072,299 ÷ 2 = 62,536,149.5

If the quotient is a whole number, then 2 and 62,536,149.5 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:

1 125,072,299
-1 -125,072,299

Now, we try dividing 125,072,299 by 3:

125,072,299 ÷ 3 = 41,690,766.3333

If the quotient is a whole number, then 3 and 41,690,766.3333 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:

1 125,072,299
-1 -125,072,299

Let's try dividing by 4:

125,072,299 ÷ 4 = 31,268,074.75

If the quotient is a whole number, then 4 and 31,268,074.75 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:

1 125,072,299
-1 125,072,299
Keep dividing by the next highest number until you cannot divide anymore.

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

1111932,12358,913648,04311,370,209125,072,299
-1-11-193-2,123-58,913-648,043-11,370,209-125,072,299

More Examples

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