Q: What are the factor combinations of the number 140,556,139?

 A:
Positive:   1 x 14055613931 x 453406961 x 2304199239 x 588101311 x 4519491891 x 743297409 x 189719641 x 14579
Negative: -1 x -140556139-31 x -4534069-61 x -2304199-239 x -588101-311 x -451949-1891 x -74329-7409 x -18971-9641 x -14579


How do I find the factor combinations of the number 140,556,139?

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 140,556,139, 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.

1 140,556,139
-1 -140,556,139

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 140,556,139.

Example:
1 x 140,556,139 = 140,556,139
and
-1 x -140,556,139 = 140,556,139
Notice both answers equal 140,556,139

With that explanation out of the way, let's continue. Next, we take the number 140,556,139 and divide it by 2:

140,556,139 ÷ 2 = 70,278,069.5

If the quotient is a whole number, then 2 and 70,278,069.5 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:

1 140,556,139
-1 -140,556,139

Now, we try dividing 140,556,139 by 3:

140,556,139 ÷ 3 = 46,852,046.3333

If the quotient is a whole number, then 3 and 46,852,046.3333 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:

1 140,556,139
-1 -140,556,139

Let's try dividing by 4:

140,556,139 ÷ 4 = 35,139,034.75

If the quotient is a whole number, then 4 and 35,139,034.75 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:

1 140,556,139
-1 140,556,139
Keep dividing by the next highest number until you cannot divide anymore.

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

131612393111,8917,4099,64114,57918,97174,329451,949588,1012,304,1994,534,069140,556,139
-1-31-61-239-311-1,891-7,409-9,641-14,579-18,971-74,329-451,949-588,101-2,304,199-4,534,069-140,556,139

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