Q: What are the factor combinations of the number 124,362,173?

 A:
Positive:   1 x 12436217313 x 956632123 x 540705131 x 4011683299 x 415927403 x 308591713 x 1744219269 x 13417
Negative: -1 x -124362173-13 x -9566321-23 x -5407051-31 x -4011683-299 x -415927-403 x -308591-713 x -174421-9269 x -13417


How do I find the factor combinations of the number 124,362,173?

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 124,362,173, 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.

1 124,362,173
-1 -124,362,173

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 124,362,173.

Example:
1 x 124,362,173 = 124,362,173
and
-1 x -124,362,173 = 124,362,173
Notice both answers equal 124,362,173

With that explanation out of the way, let's continue. Next, we take the number 124,362,173 and divide it by 2:

124,362,173 ÷ 2 = 62,181,086.5

If the quotient is a whole number, then 2 and 62,181,086.5 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:

1 124,362,173
-1 -124,362,173

Now, we try dividing 124,362,173 by 3:

124,362,173 ÷ 3 = 41,454,057.6667

If the quotient is a whole number, then 3 and 41,454,057.6667 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:

1 124,362,173
-1 -124,362,173

Let's try dividing by 4:

124,362,173 ÷ 4 = 31,090,543.25

If the quotient is a whole number, then 4 and 31,090,543.25 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:

1 124,362,173
-1 124,362,173
Keep dividing by the next highest number until you cannot divide anymore.

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

11323312994037139,26913,417174,421308,591415,9274,011,6835,407,0519,566,321124,362,173
-1-13-23-31-299-403-713-9,269-13,417-174,421-308,591-415,927-4,011,683-5,407,051-9,566,321-124,362,173

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