Q: What are the factor combinations of the number 38,690,555?

 A:
Positive:   1 x 386905555 x 773811117 x 227591519 x 203634585 x 45518395 x 407269323 x 1197851615 x 23957
Negative: -1 x -38690555-5 x -7738111-17 x -2275915-19 x -2036345-85 x -455183-95 x -407269-323 x -119785-1615 x -23957


How do I find the factor combinations of the number 38,690,555?

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 38,690,555, 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 38,690,555
-1 -38,690,555

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 38,690,555.

Example:
1 x 38,690,555 = 38,690,555
and
-1 x -38,690,555 = 38,690,555
Notice both answers equal 38,690,555

With that explanation out of the way, let's continue. Next, we take the number 38,690,555 and divide it by 2:

38,690,555 ÷ 2 = 19,345,277.5

If the quotient is a whole number, then 2 and 19,345,277.5 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 38,690,555
-1 -38,690,555

Now, we try dividing 38,690,555 by 3:

38,690,555 ÷ 3 = 12,896,851.6667

If the quotient is a whole number, then 3 and 12,896,851.6667 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 38,690,555
-1 -38,690,555

Let's try dividing by 4:

38,690,555 ÷ 4 = 9,672,638.75

If the quotient is a whole number, then 4 and 9,672,638.75 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 38,690,555
-1 38,690,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,61523,957119,785407,269455,1832,036,3452,275,9157,738,11138,690,555
-1-5-17-19-85-95-323-1,615-23,957-119,785-407,269-455,183-2,036,345-2,275,915-7,738,111-38,690,555

More Examples

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