Q: What are the factor combinations of the number 250,116,139?

 A:
Positive:   1 x 2501161397 x 3573087713 x 1923970349 x 510441191 x 2748529637 x 392647
Negative: -1 x -250116139-7 x -35730877-13 x -19239703-49 x -5104411-91 x -2748529-637 x -392647


How do I find the factor combinations of the number 250,116,139?

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 250,116,139, 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.

1 250,116,139
-1 -250,116,139

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 250,116,139.

Example:
1 x 250,116,139 = 250,116,139
and
-1 x -250,116,139 = 250,116,139
Notice both answers equal 250,116,139

With that explanation out of the way, let's continue. Next, we take the number 250,116,139 and divide it by 2:

250,116,139 ÷ 2 = 125,058,069.5

If the quotient is a whole number, then 2 and 125,058,069.5 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:

1 250,116,139
-1 -250,116,139

Now, we try dividing 250,116,139 by 3:

250,116,139 ÷ 3 = 83,372,046.3333

If the quotient is a whole number, then 3 and 83,372,046.3333 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:

1 250,116,139
-1 -250,116,139

Let's try dividing by 4:

250,116,139 ÷ 4 = 62,529,034.75

If the quotient is a whole number, then 4 and 62,529,034.75 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:

1 250,116,139
-1 250,116,139
Keep dividing by the next highest number until you cannot divide anymore.

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

17134991637392,6472,748,5295,104,41119,239,70335,730,877250,116,139
-1-7-13-49-91-637-392,647-2,748,529-5,104,411-19,239,703-35,730,877-250,116,139

More Examples

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