Q: What are the factor combinations of the number 124,345,235?

 A:
Positive:   1 x 1243452355 x 248690477 x 1776360535 x 3552721107 x 1162105535 x 232421749 x 1660153745 x 33203
Negative: -1 x -124345235-5 x -24869047-7 x -17763605-35 x -3552721-107 x -1162105-535 x -232421-749 x -166015-3745 x -33203


How do I find the factor combinations of the number 124,345,235?

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 124,345,235, 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.

1 124,345,235
-1 -124,345,235

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 124,345,235.

Example:
1 x 124,345,235 = 124,345,235
and
-1 x -124,345,235 = 124,345,235
Notice both answers equal 124,345,235

With that explanation out of the way, let's continue. Next, we take the number 124,345,235 and divide it by 2:

124,345,235 ÷ 2 = 62,172,617.5

If the quotient is a whole number, then 2 and 62,172,617.5 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:

1 124,345,235
-1 -124,345,235

Now, we try dividing 124,345,235 by 3:

124,345,235 ÷ 3 = 41,448,411.6667

If the quotient is a whole number, then 3 and 41,448,411.6667 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:

1 124,345,235
-1 -124,345,235

Let's try dividing by 4:

124,345,235 ÷ 4 = 31,086,308.75

If the quotient is a whole number, then 4 and 31,086,308.75 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:

1 124,345,235
-1 124,345,235
Keep dividing by the next highest number until you cannot divide anymore.

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

157351075357493,74533,203166,015232,4211,162,1053,552,72117,763,60524,869,047124,345,235
-1-5-7-35-107-535-749-3,745-33,203-166,015-232,421-1,162,105-3,552,721-17,763,605-24,869,047-124,345,235

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