Q: What are the factor combinations of the number 38,056,871?

 A:
Positive:   1 x 3805687131 x 122764167 x 56801373 x 521327251 x 1516212077 x 183232263 x 168174891 x 7781
Negative: -1 x -38056871-31 x -1227641-67 x -568013-73 x -521327-251 x -151621-2077 x -18323-2263 x -16817-4891 x -7781


How do I find the factor combinations of the number 38,056,871?

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 38,056,871, 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 38,056,871
-1 -38,056,871

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 38,056,871.

Example:
1 x 38,056,871 = 38,056,871
and
-1 x -38,056,871 = 38,056,871
Notice both answers equal 38,056,871

With that explanation out of the way, let's continue. Next, we take the number 38,056,871 and divide it by 2:

38,056,871 ÷ 2 = 19,028,435.5

If the quotient is a whole number, then 2 and 19,028,435.5 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 38,056,871
-1 -38,056,871

Now, we try dividing 38,056,871 by 3:

38,056,871 ÷ 3 = 12,685,623.6667

If the quotient is a whole number, then 3 and 12,685,623.6667 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 38,056,871
-1 -38,056,871

Let's try dividing by 4:

38,056,871 ÷ 4 = 9,514,217.75

If the quotient is a whole number, then 4 and 9,514,217.75 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 38,056,871
-1 38,056,871
Keep dividing by the next highest number until you cannot divide anymore.

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

13167732512,0772,2634,8917,78116,81718,323151,621521,327568,0131,227,64138,056,871
-1-31-67-73-251-2,077-2,263-4,891-7,781-16,817-18,323-151,621-521,327-568,013-1,227,641-38,056,871

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