Q: What are the factor combinations of the number 128,888,425?

 A:
Positive:   1 x 1288884255 x 2577768525 x 515553761 x 2112925223 x 577975305 x 422585379 x 3400751115 x 1155951525 x 845171895 x 680155575 x 231199475 x 13603
Negative: -1 x -128888425-5 x -25777685-25 x -5155537-61 x -2112925-223 x -577975-305 x -422585-379 x -340075-1115 x -115595-1525 x -84517-1895 x -68015-5575 x -23119-9475 x -13603


How do I find the factor combinations of the number 128,888,425?

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 128,888,425, 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.

1 128,888,425
-1 -128,888,425

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 128,888,425.

Example:
1 x 128,888,425 = 128,888,425
and
-1 x -128,888,425 = 128,888,425
Notice both answers equal 128,888,425

With that explanation out of the way, let's continue. Next, we take the number 128,888,425 and divide it by 2:

128,888,425 ÷ 2 = 64,444,212.5

If the quotient is a whole number, then 2 and 64,444,212.5 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:

1 128,888,425
-1 -128,888,425

Now, we try dividing 128,888,425 by 3:

128,888,425 ÷ 3 = 42,962,808.3333

If the quotient is a whole number, then 3 and 42,962,808.3333 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:

1 128,888,425
-1 -128,888,425

Let's try dividing by 4:

128,888,425 ÷ 4 = 32,222,106.25

If the quotient is a whole number, then 4 and 32,222,106.25 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:

1 128,888,425
-1 128,888,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525612233053791,1151,5251,8955,5759,47513,60323,11968,01584,517115,595340,075422,585577,9752,112,9255,155,53725,777,685128,888,425
-1-5-25-61-223-305-379-1,115-1,525-1,895-5,575-9,475-13,603-23,119-68,015-84,517-115,595-340,075-422,585-577,975-2,112,925-5,155,537-25,777,685-128,888,425

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