Q: What are the factor combinations of the number 38,524,367?

 A:
Positive:   1 x 385243677 x 550348161 x 63154783 x 464149427 x 90221581 x 663071087 x 354415063 x 7609
Negative: -1 x -38524367-7 x -5503481-61 x -631547-83 x -464149-427 x -90221-581 x -66307-1087 x -35441-5063 x -7609


How do I find the factor combinations of the number 38,524,367?

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 38,524,367, 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 38,524,367
-1 -38,524,367

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 38,524,367.

Example:
1 x 38,524,367 = 38,524,367
and
-1 x -38,524,367 = 38,524,367
Notice both answers equal 38,524,367

With that explanation out of the way, let's continue. Next, we take the number 38,524,367 and divide it by 2:

38,524,367 ÷ 2 = 19,262,183.5

If the quotient is a whole number, then 2 and 19,262,183.5 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 38,524,367
-1 -38,524,367

Now, we try dividing 38,524,367 by 3:

38,524,367 ÷ 3 = 12,841,455.6667

If the quotient is a whole number, then 3 and 12,841,455.6667 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 38,524,367
-1 -38,524,367

Let's try dividing by 4:

38,524,367 ÷ 4 = 9,631,091.75

If the quotient is a whole number, then 4 and 9,631,091.75 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 38,524,367
-1 38,524,367
Keep dividing by the next highest number until you cannot divide anymore.

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

1761834275811,0875,0637,60935,44166,30790,221464,149631,5475,503,48138,524,367
-1-7-61-83-427-581-1,087-5,063-7,609-35,441-66,307-90,221-464,149-631,547-5,503,481-38,524,367

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