Q: What are the factor combinations of the number 38,845,697?

 A:
Positive:   1 x 3884569711 x 353142717 x 228504131 x 1253087187 x 207731341 x 113917527 x 737115797 x 6701
Negative: -1 x -38845697-11 x -3531427-17 x -2285041-31 x -1253087-187 x -207731-341 x -113917-527 x -73711-5797 x -6701


How do I find the factor combinations of the number 38,845,697?

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 38,845,697, 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 38,845,697
-1 -38,845,697

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 38,845,697.

Example:
1 x 38,845,697 = 38,845,697
and
-1 x -38,845,697 = 38,845,697
Notice both answers equal 38,845,697

With that explanation out of the way, let's continue. Next, we take the number 38,845,697 and divide it by 2:

38,845,697 ÷ 2 = 19,422,848.5

If the quotient is a whole number, then 2 and 19,422,848.5 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 38,845,697
-1 -38,845,697

Now, we try dividing 38,845,697 by 3:

38,845,697 ÷ 3 = 12,948,565.6667

If the quotient is a whole number, then 3 and 12,948,565.6667 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 38,845,697
-1 -38,845,697

Let's try dividing by 4:

38,845,697 ÷ 4 = 9,711,424.25

If the quotient is a whole number, then 4 and 9,711,424.25 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 38,845,697
-1 38,845,697
Keep dividing by the next highest number until you cannot divide anymore.

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

11117311873415275,7976,70173,711113,917207,7311,253,0872,285,0413,531,42738,845,697
-1-11-17-31-187-341-527-5,797-6,701-73,711-113,917-207,731-1,253,087-2,285,041-3,531,427-38,845,697

More Examples

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