Q: What are the factor combinations of the number 50,842,673?

 A:
Positive:   1 x 508426737 x 726323923 x 221055147 x 1081759161 x 315793329 x 1545371081 x 470336719 x 7567
Negative: -1 x -50842673-7 x -7263239-23 x -2210551-47 x -1081759-161 x -315793-329 x -154537-1081 x -47033-6719 x -7567


How do I find the factor combinations of the number 50,842,673?

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 50,842,673, 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 50,842,673
-1 -50,842,673

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 50,842,673.

Example:
1 x 50,842,673 = 50,842,673
and
-1 x -50,842,673 = 50,842,673
Notice both answers equal 50,842,673

With that explanation out of the way, let's continue. Next, we take the number 50,842,673 and divide it by 2:

50,842,673 ÷ 2 = 25,421,336.5

If the quotient is a whole number, then 2 and 25,421,336.5 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 50,842,673
-1 -50,842,673

Now, we try dividing 50,842,673 by 3:

50,842,673 ÷ 3 = 16,947,557.6667

If the quotient is a whole number, then 3 and 16,947,557.6667 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 50,842,673
-1 -50,842,673

Let's try dividing by 4:

50,842,673 ÷ 4 = 12,710,668.25

If the quotient is a whole number, then 4 and 12,710,668.25 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 50,842,673
-1 50,842,673
Keep dividing by the next highest number until you cannot divide anymore.

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

1723471613291,0816,7197,56747,033154,537315,7931,081,7592,210,5517,263,23950,842,673
-1-7-23-47-161-329-1,081-6,719-7,567-47,033-154,537-315,793-1,081,759-2,210,551-7,263,239-50,842,673

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