Q: What are the factor combinations of the number 238,727,135?

 A:
Positive:   1 x 2387271355 x 47745427101 x 2363635157 x 1520555505 x 472727785 x 3041113011 x 7928515055 x 15857
Negative: -1 x -238727135-5 x -47745427-101 x -2363635-157 x -1520555-505 x -472727-785 x -304111-3011 x -79285-15055 x -15857


How do I find the factor combinations of the number 238,727,135?

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 238,727,135, 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.

1 238,727,135
-1 -238,727,135

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 238,727,135.

Example:
1 x 238,727,135 = 238,727,135
and
-1 x -238,727,135 = 238,727,135
Notice both answers equal 238,727,135

With that explanation out of the way, let's continue. Next, we take the number 238,727,135 and divide it by 2:

238,727,135 ÷ 2 = 119,363,567.5

If the quotient is a whole number, then 2 and 119,363,567.5 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:

1 238,727,135
-1 -238,727,135

Now, we try dividing 238,727,135 by 3:

238,727,135 ÷ 3 = 79,575,711.6667

If the quotient is a whole number, then 3 and 79,575,711.6667 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:

1 238,727,135
-1 -238,727,135

Let's try dividing by 4:

238,727,135 ÷ 4 = 59,681,783.75

If the quotient is a whole number, then 4 and 59,681,783.75 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:

1 238,727,135
-1 238,727,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151011575057853,01115,05515,85779,285304,111472,7271,520,5552,363,63547,745,427238,727,135
-1-5-101-157-505-785-3,011-15,055-15,857-79,285-304,111-472,727-1,520,555-2,363,635-47,745,427-238,727,135

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