Q: What are the factor combinations of the number 38,920,555?

 A:
Positive:   1 x 389205555 x 7784111709 x 548953545 x 10979
Negative: -1 x -38920555-5 x -7784111-709 x -54895-3545 x -10979


How do I find the factor combinations of the number 38,920,555?

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 38,920,555, 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 38,920,555
-1 -38,920,555

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 38,920,555.

Example:
1 x 38,920,555 = 38,920,555
and
-1 x -38,920,555 = 38,920,555
Notice both answers equal 38,920,555

With that explanation out of the way, let's continue. Next, we take the number 38,920,555 and divide it by 2:

38,920,555 ÷ 2 = 19,460,277.5

If the quotient is a whole number, then 2 and 19,460,277.5 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 38,920,555
-1 -38,920,555

Now, we try dividing 38,920,555 by 3:

38,920,555 ÷ 3 = 12,973,518.3333

If the quotient is a whole number, then 3 and 12,973,518.3333 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 38,920,555
-1 -38,920,555

Let's try dividing by 4:

38,920,555 ÷ 4 = 9,730,138.75

If the quotient is a whole number, then 4 and 9,730,138.75 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 38,920,555
-1 38,920,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157093,54510,97954,8957,784,11138,920,555
-1-5-709-3,545-10,979-54,895-7,784,111-38,920,555

More Examples

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