Q: What are the factor combinations of the number 38,320,711?

 A:
Positive:   1 x 3832071111 x 348370113 x 2947747143 x 267977173 x 2215071549 x 247391903 x 201372249 x 17039
Negative: -1 x -38320711-11 x -3483701-13 x -2947747-143 x -267977-173 x -221507-1549 x -24739-1903 x -20137-2249 x -17039


How do I find the factor combinations of the number 38,320,711?

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 38,320,711, 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 38,320,711
-1 -38,320,711

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 38,320,711.

Example:
1 x 38,320,711 = 38,320,711
and
-1 x -38,320,711 = 38,320,711
Notice both answers equal 38,320,711

With that explanation out of the way, let's continue. Next, we take the number 38,320,711 and divide it by 2:

38,320,711 ÷ 2 = 19,160,355.5

If the quotient is a whole number, then 2 and 19,160,355.5 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 38,320,711
-1 -38,320,711

Now, we try dividing 38,320,711 by 3:

38,320,711 ÷ 3 = 12,773,570.3333

If the quotient is a whole number, then 3 and 12,773,570.3333 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 38,320,711
-1 -38,320,711

Let's try dividing by 4:

38,320,711 ÷ 4 = 9,580,177.75

If the quotient is a whole number, then 4 and 9,580,177.75 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 38,320,711
-1 38,320,711
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431731,5491,9032,24917,03920,13724,739221,507267,9772,947,7473,483,70138,320,711
-1-11-13-143-173-1,549-1,903-2,249-17,039-20,137-24,739-221,507-267,977-2,947,747-3,483,701-38,320,711

More Examples

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