Q: What are the factor combinations of the number 125,424,605?

 A:
Positive:   1 x 1254246055 x 2508492119 x 660129531 x 404595595 x 1320259155 x 809191589 x 2129452945 x 42589
Negative: -1 x -125424605-5 x -25084921-19 x -6601295-31 x -4045955-95 x -1320259-155 x -809191-589 x -212945-2945 x -42589


How do I find the factor combinations of the number 125,424,605?

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 125,424,605, 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.

1 125,424,605
-1 -125,424,605

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 125,424,605.

Example:
1 x 125,424,605 = 125,424,605
and
-1 x -125,424,605 = 125,424,605
Notice both answers equal 125,424,605

With that explanation out of the way, let's continue. Next, we take the number 125,424,605 and divide it by 2:

125,424,605 ÷ 2 = 62,712,302.5

If the quotient is a whole number, then 2 and 62,712,302.5 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:

1 125,424,605
-1 -125,424,605

Now, we try dividing 125,424,605 by 3:

125,424,605 ÷ 3 = 41,808,201.6667

If the quotient is a whole number, then 3 and 41,808,201.6667 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:

1 125,424,605
-1 -125,424,605

Let's try dividing by 4:

125,424,605 ÷ 4 = 31,356,151.25

If the quotient is a whole number, then 4 and 31,356,151.25 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:

1 125,424,605
-1 125,424,605
Keep dividing by the next highest number until you cannot divide anymore.

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

151931951555892,94542,589212,945809,1911,320,2594,045,9556,601,29525,084,921125,424,605
-1-5-19-31-95-155-589-2,945-42,589-212,945-809,191-1,320,259-4,045,955-6,601,295-25,084,921-125,424,605

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