Q: What are the factor combinations of the number 125,345,207?

 A:
Positive:   1 x 12534520713 x 9641939149 x 841243163 x 768989397 x 3157311937 x 647112119 x 591535161 x 24287
Negative: -1 x -125345207-13 x -9641939-149 x -841243-163 x -768989-397 x -315731-1937 x -64711-2119 x -59153-5161 x -24287


How do I find the factor combinations of the number 125,345,207?

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 125,345,207, 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.

1 125,345,207
-1 -125,345,207

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 125,345,207.

Example:
1 x 125,345,207 = 125,345,207
and
-1 x -125,345,207 = 125,345,207
Notice both answers equal 125,345,207

With that explanation out of the way, let's continue. Next, we take the number 125,345,207 and divide it by 2:

125,345,207 ÷ 2 = 62,672,603.5

If the quotient is a whole number, then 2 and 62,672,603.5 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:

1 125,345,207
-1 -125,345,207

Now, we try dividing 125,345,207 by 3:

125,345,207 ÷ 3 = 41,781,735.6667

If the quotient is a whole number, then 3 and 41,781,735.6667 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:

1 125,345,207
-1 -125,345,207

Let's try dividing by 4:

125,345,207 ÷ 4 = 31,336,301.75

If the quotient is a whole number, then 4 and 31,336,301.75 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:

1 125,345,207
-1 125,345,207
Keep dividing by the next highest number until you cannot divide anymore.

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

1131491633971,9372,1195,16124,28759,15364,711315,731768,989841,2439,641,939125,345,207
-1-13-149-163-397-1,937-2,119-5,161-24,287-59,153-64,711-315,731-768,989-841,243-9,641,939-125,345,207

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