Q: What are the factor combinations of the number 38,240,995?

 A:
Positive:   1 x 382409955 x 764819913 x 294161529 x 131865565 x 588323145 x 263731377 x 1014351885 x 20287
Negative: -1 x -38240995-5 x -7648199-13 x -2941615-29 x -1318655-65 x -588323-145 x -263731-377 x -101435-1885 x -20287


How do I find the factor combinations of the number 38,240,995?

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 38,240,995, 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 38,240,995
-1 -38,240,995

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 38,240,995.

Example:
1 x 38,240,995 = 38,240,995
and
-1 x -38,240,995 = 38,240,995
Notice both answers equal 38,240,995

With that explanation out of the way, let's continue. Next, we take the number 38,240,995 and divide it by 2:

38,240,995 ÷ 2 = 19,120,497.5

If the quotient is a whole number, then 2 and 19,120,497.5 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 38,240,995
-1 -38,240,995

Now, we try dividing 38,240,995 by 3:

38,240,995 ÷ 3 = 12,746,998.3333

If the quotient is a whole number, then 3 and 12,746,998.3333 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 38,240,995
-1 -38,240,995

Let's try dividing by 4:

38,240,995 ÷ 4 = 9,560,248.75

If the quotient is a whole number, then 4 and 9,560,248.75 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 38,240,995
-1 38,240,995
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453771,88520,287101,435263,731588,3231,318,6552,941,6157,648,19938,240,995
-1-5-13-29-65-145-377-1,885-20,287-101,435-263,731-588,323-1,318,655-2,941,615-7,648,199-38,240,995

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 38,240,995:


Ask a Question