Q: What are the factor combinations of the number 124,707,575?

 A:
Positive:   1 x 1247075755 x 2494151525 x 498830331 x 402282537 x 3370475155 x 804565185 x 674095775 x 160913925 x 1348191147 x 1087254349 x 286755735 x 21745
Negative: -1 x -124707575-5 x -24941515-25 x -4988303-31 x -4022825-37 x -3370475-155 x -804565-185 x -674095-775 x -160913-925 x -134819-1147 x -108725-4349 x -28675-5735 x -21745


How do I find the factor combinations of the number 124,707,575?

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 124,707,575, 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.

1 124,707,575
-1 -124,707,575

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 124,707,575.

Example:
1 x 124,707,575 = 124,707,575
and
-1 x -124,707,575 = 124,707,575
Notice both answers equal 124,707,575

With that explanation out of the way, let's continue. Next, we take the number 124,707,575 and divide it by 2:

124,707,575 ÷ 2 = 62,353,787.5

If the quotient is a whole number, then 2 and 62,353,787.5 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:

1 124,707,575
-1 -124,707,575

Now, we try dividing 124,707,575 by 3:

124,707,575 ÷ 3 = 41,569,191.6667

If the quotient is a whole number, then 3 and 41,569,191.6667 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:

1 124,707,575
-1 -124,707,575

Let's try dividing by 4:

124,707,575 ÷ 4 = 31,176,893.75

If the quotient is a whole number, then 4 and 31,176,893.75 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:

1 124,707,575
-1 124,707,575
Keep dividing by the next highest number until you cannot divide anymore.

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

152531371551857759251,1474,3495,73521,74528,675108,725134,819160,913674,095804,5653,370,4754,022,8254,988,30324,941,515124,707,575
-1-5-25-31-37-155-185-775-925-1,147-4,349-5,735-21,745-28,675-108,725-134,819-160,913-674,095-804,565-3,370,475-4,022,825-4,988,303-24,941,515-124,707,575

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