Q: What are the factor combinations of the number 38,518,711?

 A:
Positive:   1 x 385187117 x 550267311 x 350170177 x 500243251 x 1534611757 x 219231993 x 193272761 x 13951
Negative: -1 x -38518711-7 x -5502673-11 x -3501701-77 x -500243-251 x -153461-1757 x -21923-1993 x -19327-2761 x -13951


How do I find the factor combinations of the number 38,518,711?

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 38,518,711, 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 38,518,711
-1 -38,518,711

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 38,518,711.

Example:
1 x 38,518,711 = 38,518,711
and
-1 x -38,518,711 = 38,518,711
Notice both answers equal 38,518,711

With that explanation out of the way, let's continue. Next, we take the number 38,518,711 and divide it by 2:

38,518,711 ÷ 2 = 19,259,355.5

If the quotient is a whole number, then 2 and 19,259,355.5 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 38,518,711
-1 -38,518,711

Now, we try dividing 38,518,711 by 3:

38,518,711 ÷ 3 = 12,839,570.3333

If the quotient is a whole number, then 3 and 12,839,570.3333 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 38,518,711
-1 -38,518,711

Let's try dividing by 4:

38,518,711 ÷ 4 = 9,629,677.75

If the quotient is a whole number, then 4 and 9,629,677.75 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 38,518,711
-1 38,518,711
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772511,7571,9932,76113,95119,32721,923153,461500,2433,501,7015,502,67338,518,711
-1-7-11-77-251-1,757-1,993-2,761-13,951-19,327-21,923-153,461-500,243-3,501,701-5,502,673-38,518,711

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