Q: What are the factor combinations of the number 38,767,421?

 A:
Positive:   1 x 387674217 x 553820311 x 352431177 x 50347389 x 435589623 x 62227979 x 395995657 x 6853
Negative: -1 x -38767421-7 x -5538203-11 x -3524311-77 x -503473-89 x -435589-623 x -62227-979 x -39599-5657 x -6853


How do I find the factor combinations of the number 38,767,421?

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 38,767,421, 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 38,767,421
-1 -38,767,421

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 38,767,421.

Example:
1 x 38,767,421 = 38,767,421
and
-1 x -38,767,421 = 38,767,421
Notice both answers equal 38,767,421

With that explanation out of the way, let's continue. Next, we take the number 38,767,421 and divide it by 2:

38,767,421 ÷ 2 = 19,383,710.5

If the quotient is a whole number, then 2 and 19,383,710.5 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 38,767,421
-1 -38,767,421

Now, we try dividing 38,767,421 by 3:

38,767,421 ÷ 3 = 12,922,473.6667

If the quotient is a whole number, then 3 and 12,922,473.6667 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 38,767,421
-1 -38,767,421

Let's try dividing by 4:

38,767,421 ÷ 4 = 9,691,855.25

If the quotient is a whole number, then 4 and 9,691,855.25 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 38,767,421
-1 38,767,421
Keep dividing by the next highest number until you cannot divide anymore.

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

171177896239795,6576,85339,59962,227435,589503,4733,524,3115,538,20338,767,421
-1-7-11-77-89-623-979-5,657-6,853-39,599-62,227-435,589-503,473-3,524,311-5,538,203-38,767,421

More Examples

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