Q: What are the factor combinations of the number 128,502,185?

 A:
Positive:   1 x 1285021855 x 257004377 x 1835745535 x 3671491107 x 1200955535 x 240191749 x 1715653745 x 34313
Negative: -1 x -128502185-5 x -25700437-7 x -18357455-35 x -3671491-107 x -1200955-535 x -240191-749 x -171565-3745 x -34313


How do I find the factor combinations of the number 128,502,185?

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 128,502,185, 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.

1 128,502,185
-1 -128,502,185

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 128,502,185.

Example:
1 x 128,502,185 = 128,502,185
and
-1 x -128,502,185 = 128,502,185
Notice both answers equal 128,502,185

With that explanation out of the way, let's continue. Next, we take the number 128,502,185 and divide it by 2:

128,502,185 ÷ 2 = 64,251,092.5

If the quotient is a whole number, then 2 and 64,251,092.5 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:

1 128,502,185
-1 -128,502,185

Now, we try dividing 128,502,185 by 3:

128,502,185 ÷ 3 = 42,834,061.6667

If the quotient is a whole number, then 3 and 42,834,061.6667 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:

1 128,502,185
-1 -128,502,185

Let's try dividing by 4:

128,502,185 ÷ 4 = 32,125,546.25

If the quotient is a whole number, then 4 and 32,125,546.25 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:

1 128,502,185
-1 128,502,185
Keep dividing by the next highest number until you cannot divide anymore.

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

157351075357493,74534,313171,565240,1911,200,9553,671,49118,357,45525,700,437128,502,185
-1-5-7-35-107-535-749-3,745-34,313-171,565-240,191-1,200,955-3,671,491-18,357,455-25,700,437-128,502,185

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