Q: What are the factor combinations of the number 124,123,241?

 A:
Positive:   1 x 12412324111 x 1128393143 x 2886587397 x 312653473 x 262417661 x 1877814367 x 284237271 x 17071
Negative: -1 x -124123241-11 x -11283931-43 x -2886587-397 x -312653-473 x -262417-661 x -187781-4367 x -28423-7271 x -17071


How do I find the factor combinations of the number 124,123,241?

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 124,123,241, 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.

1 124,123,241
-1 -124,123,241

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 124,123,241.

Example:
1 x 124,123,241 = 124,123,241
and
-1 x -124,123,241 = 124,123,241
Notice both answers equal 124,123,241

With that explanation out of the way, let's continue. Next, we take the number 124,123,241 and divide it by 2:

124,123,241 ÷ 2 = 62,061,620.5

If the quotient is a whole number, then 2 and 62,061,620.5 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:

1 124,123,241
-1 -124,123,241

Now, we try dividing 124,123,241 by 3:

124,123,241 ÷ 3 = 41,374,413.6667

If the quotient is a whole number, then 3 and 41,374,413.6667 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:

1 124,123,241
-1 -124,123,241

Let's try dividing by 4:

124,123,241 ÷ 4 = 31,030,810.25

If the quotient is a whole number, then 4 and 31,030,810.25 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:

1 124,123,241
-1 124,123,241
Keep dividing by the next highest number until you cannot divide anymore.

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

111433974736614,3677,27117,07128,423187,781262,417312,6532,886,58711,283,931124,123,241
-1-11-43-397-473-661-4,367-7,271-17,071-28,423-187,781-262,417-312,653-2,886,587-11,283,931-124,123,241

More Examples

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