Q: What are the factor combinations of the number 38,207,221?

 A:
Positive:   1 x 3820722113 x 293901731 x 1232491113 x 338117403 x 94807839 x 455391469 x 260093503 x 10907
Negative: -1 x -38207221-13 x -2939017-31 x -1232491-113 x -338117-403 x -94807-839 x -45539-1469 x -26009-3503 x -10907


How do I find the factor combinations of the number 38,207,221?

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 38,207,221, 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 38,207,221
-1 -38,207,221

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 38,207,221.

Example:
1 x 38,207,221 = 38,207,221
and
-1 x -38,207,221 = 38,207,221
Notice both answers equal 38,207,221

With that explanation out of the way, let's continue. Next, we take the number 38,207,221 and divide it by 2:

38,207,221 ÷ 2 = 19,103,610.5

If the quotient is a whole number, then 2 and 19,103,610.5 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 38,207,221
-1 -38,207,221

Now, we try dividing 38,207,221 by 3:

38,207,221 ÷ 3 = 12,735,740.3333

If the quotient is a whole number, then 3 and 12,735,740.3333 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 38,207,221
-1 -38,207,221

Let's try dividing by 4:

38,207,221 ÷ 4 = 9,551,805.25

If the quotient is a whole number, then 4 and 9,551,805.25 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 38,207,221
-1 38,207,221
Keep dividing by the next highest number until you cannot divide anymore.

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

113311134038391,4693,50310,90726,00945,53994,807338,1171,232,4912,939,01738,207,221
-1-13-31-113-403-839-1,469-3,503-10,907-26,009-45,539-94,807-338,117-1,232,491-2,939,017-38,207,221

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 38,207,221:


Ask a Question