Q: What are the factor combinations of the number 38,383,487?

 A:
Positive:   1 x 3838348731 x 1238177
Negative: -1 x -38383487-31 x -1238177


How do I find the factor combinations of the number 38,383,487?

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 38,383,487, 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 38,383,487
-1 -38,383,487

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 38,383,487.

Example:
1 x 38,383,487 = 38,383,487
and
-1 x -38,383,487 = 38,383,487
Notice both answers equal 38,383,487

With that explanation out of the way, let's continue. Next, we take the number 38,383,487 and divide it by 2:

38,383,487 ÷ 2 = 19,191,743.5

If the quotient is a whole number, then 2 and 19,191,743.5 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 38,383,487
-1 -38,383,487

Now, we try dividing 38,383,487 by 3:

38,383,487 ÷ 3 = 12,794,495.6667

If the quotient is a whole number, then 3 and 12,794,495.6667 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 38,383,487
-1 -38,383,487

Let's try dividing by 4:

38,383,487 ÷ 4 = 9,595,871.75

If the quotient is a whole number, then 4 and 9,595,871.75 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 38,383,487
-1 38,383,487
Keep dividing by the next highest number until you cannot divide anymore.

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

1311,238,17738,383,487
-1-31-1,238,177-38,383,487

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 38,383,487:


Ask a Question