Q: What are the factor combinations of the number 125,072,621?

 A:
Positive:   1 x 12507262117 x 735721329 x 4312849107 x 1168903493 x 2536971819 x 687592371 x 527513103 x 40307
Negative: -1 x -125072621-17 x -7357213-29 x -4312849-107 x -1168903-493 x -253697-1819 x -68759-2371 x -52751-3103 x -40307


How do I find the factor combinations of the number 125,072,621?

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 125,072,621, 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.

1 125,072,621
-1 -125,072,621

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 125,072,621.

Example:
1 x 125,072,621 = 125,072,621
and
-1 x -125,072,621 = 125,072,621
Notice both answers equal 125,072,621

With that explanation out of the way, let's continue. Next, we take the number 125,072,621 and divide it by 2:

125,072,621 ÷ 2 = 62,536,310.5

If the quotient is a whole number, then 2 and 62,536,310.5 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:

1 125,072,621
-1 -125,072,621

Now, we try dividing 125,072,621 by 3:

125,072,621 ÷ 3 = 41,690,873.6667

If the quotient is a whole number, then 3 and 41,690,873.6667 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:

1 125,072,621
-1 -125,072,621

Let's try dividing by 4:

125,072,621 ÷ 4 = 31,268,155.25

If the quotient is a whole number, then 4 and 31,268,155.25 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:

1 125,072,621
-1 125,072,621
Keep dividing by the next highest number until you cannot divide anymore.

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

117291074931,8192,3713,10340,30752,75168,759253,6971,168,9034,312,8497,357,213125,072,621
-1-17-29-107-493-1,819-2,371-3,103-40,307-52,751-68,759-253,697-1,168,903-4,312,849-7,357,213-125,072,621

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