Q: What are the factor combinations of the number 124,261,735?

 A:
Positive:   1 x 1242617355 x 2485234713 x 955859565 x 1911719191 x 650585955 x 1301172483 x 5004510009 x 12415
Negative: -1 x -124261735-5 x -24852347-13 x -9558595-65 x -1911719-191 x -650585-955 x -130117-2483 x -50045-10009 x -12415


How do I find the factor combinations of the number 124,261,735?

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 124,261,735, 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.

1 124,261,735
-1 -124,261,735

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 124,261,735.

Example:
1 x 124,261,735 = 124,261,735
and
-1 x -124,261,735 = 124,261,735
Notice both answers equal 124,261,735

With that explanation out of the way, let's continue. Next, we take the number 124,261,735 and divide it by 2:

124,261,735 ÷ 2 = 62,130,867.5

If the quotient is a whole number, then 2 and 62,130,867.5 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:

1 124,261,735
-1 -124,261,735

Now, we try dividing 124,261,735 by 3:

124,261,735 ÷ 3 = 41,420,578.3333

If the quotient is a whole number, then 3 and 41,420,578.3333 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:

1 124,261,735
-1 -124,261,735

Let's try dividing by 4:

124,261,735 ÷ 4 = 31,065,433.75

If the quotient is a whole number, then 4 and 31,065,433.75 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:

1 124,261,735
-1 124,261,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651919552,48310,00912,41550,045130,117650,5851,911,7199,558,59524,852,347124,261,735
-1-5-13-65-191-955-2,483-10,009-12,415-50,045-130,117-650,585-1,911,719-9,558,595-24,852,347-124,261,735

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