Q: What are the factor combinations of the number 125,172,467?

 A:
Positive:   1 x 1251724677 x 1788178141 x 3052987287 x 436141587 x 213241743 x 1684694109 x 304635201 x 24067
Negative: -1 x -125172467-7 x -17881781-41 x -3052987-287 x -436141-587 x -213241-743 x -168469-4109 x -30463-5201 x -24067


How do I find the factor combinations of the number 125,172,467?

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 125,172,467, 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.

1 125,172,467
-1 -125,172,467

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 125,172,467.

Example:
1 x 125,172,467 = 125,172,467
and
-1 x -125,172,467 = 125,172,467
Notice both answers equal 125,172,467

With that explanation out of the way, let's continue. Next, we take the number 125,172,467 and divide it by 2:

125,172,467 ÷ 2 = 62,586,233.5

If the quotient is a whole number, then 2 and 62,586,233.5 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:

1 125,172,467
-1 -125,172,467

Now, we try dividing 125,172,467 by 3:

125,172,467 ÷ 3 = 41,724,155.6667

If the quotient is a whole number, then 3 and 41,724,155.6667 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:

1 125,172,467
-1 -125,172,467

Let's try dividing by 4:

125,172,467 ÷ 4 = 31,293,116.75

If the quotient is a whole number, then 4 and 31,293,116.75 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:

1 125,172,467
-1 125,172,467
Keep dividing by the next highest number until you cannot divide anymore.

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

17412875877434,1095,20124,06730,463168,469213,241436,1413,052,98717,881,781125,172,467
-1-7-41-287-587-743-4,109-5,201-24,067-30,463-168,469-213,241-436,141-3,052,987-17,881,781-125,172,467

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