Q: What are the factor combinations of the number 38,392,939?

 A:
Positive:   1 x 3839293913 x 295330319 x 202068137 x 1037647247 x 155437481 x 79819703 x 546134201 x 9139
Negative: -1 x -38392939-13 x -2953303-19 x -2020681-37 x -1037647-247 x -155437-481 x -79819-703 x -54613-4201 x -9139


How do I find the factor combinations of the number 38,392,939?

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 38,392,939, 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 38,392,939
-1 -38,392,939

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 38,392,939.

Example:
1 x 38,392,939 = 38,392,939
and
-1 x -38,392,939 = 38,392,939
Notice both answers equal 38,392,939

With that explanation out of the way, let's continue. Next, we take the number 38,392,939 and divide it by 2:

38,392,939 ÷ 2 = 19,196,469.5

If the quotient is a whole number, then 2 and 19,196,469.5 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 38,392,939
-1 -38,392,939

Now, we try dividing 38,392,939 by 3:

38,392,939 ÷ 3 = 12,797,646.3333

If the quotient is a whole number, then 3 and 12,797,646.3333 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 38,392,939
-1 -38,392,939

Let's try dividing by 4:

38,392,939 ÷ 4 = 9,598,234.75

If the quotient is a whole number, then 4 and 9,598,234.75 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 38,392,939
-1 38,392,939
Keep dividing by the next highest number until you cannot divide anymore.

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

11319372474817034,2019,13954,61379,819155,4371,037,6472,020,6812,953,30338,392,939
-1-13-19-37-247-481-703-4,201-9,139-54,613-79,819-155,437-1,037,647-2,020,681-2,953,303-38,392,939

More Examples

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