Q: What are the factor combinations of the number 125,074,523?

 A:
Positive:   1 x 1250745237 x 1786778971 x 1761613359 x 348397497 x 251659701 x 1784232513 x 497714907 x 25489
Negative: -1 x -125074523-7 x -17867789-71 x -1761613-359 x -348397-497 x -251659-701 x -178423-2513 x -49771-4907 x -25489


How do I find the factor combinations of the number 125,074,523?

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 125,074,523, 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.

1 125,074,523
-1 -125,074,523

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 125,074,523.

Example:
1 x 125,074,523 = 125,074,523
and
-1 x -125,074,523 = 125,074,523
Notice both answers equal 125,074,523

With that explanation out of the way, let's continue. Next, we take the number 125,074,523 and divide it by 2:

125,074,523 ÷ 2 = 62,537,261.5

If the quotient is a whole number, then 2 and 62,537,261.5 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:

1 125,074,523
-1 -125,074,523

Now, we try dividing 125,074,523 by 3:

125,074,523 ÷ 3 = 41,691,507.6667

If the quotient is a whole number, then 3 and 41,691,507.6667 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:

1 125,074,523
-1 -125,074,523

Let's try dividing by 4:

125,074,523 ÷ 4 = 31,268,630.75

If the quotient is a whole number, then 4 and 31,268,630.75 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:

1 125,074,523
-1 125,074,523
Keep dividing by the next highest number until you cannot divide anymore.

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

17713594977012,5134,90725,48949,771178,423251,659348,3971,761,61317,867,789125,074,523
-1-7-71-359-497-701-2,513-4,907-25,489-49,771-178,423-251,659-348,397-1,761,613-17,867,789-125,074,523

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