Q: What are the factor combinations of the number 238,775,335?

 A:
Positive:   1 x 2387753355 x 4775506753 x 450519573 x 3270895265 x 901039365 x 6541793869 x 6171512343 x 19345
Negative: -1 x -238775335-5 x -47755067-53 x -4505195-73 x -3270895-265 x -901039-365 x -654179-3869 x -61715-12343 x -19345


How do I find the factor combinations of the number 238,775,335?

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 238,775,335, 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.

1 238,775,335
-1 -238,775,335

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 238,775,335.

Example:
1 x 238,775,335 = 238,775,335
and
-1 x -238,775,335 = 238,775,335
Notice both answers equal 238,775,335

With that explanation out of the way, let's continue. Next, we take the number 238,775,335 and divide it by 2:

238,775,335 ÷ 2 = 119,387,667.5

If the quotient is a whole number, then 2 and 119,387,667.5 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:

1 238,775,335
-1 -238,775,335

Now, we try dividing 238,775,335 by 3:

238,775,335 ÷ 3 = 79,591,778.3333

If the quotient is a whole number, then 3 and 79,591,778.3333 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:

1 238,775,335
-1 -238,775,335

Let's try dividing by 4:

238,775,335 ÷ 4 = 59,693,833.75

If the quotient is a whole number, then 4 and 59,693,833.75 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:

1 238,775,335
-1 238,775,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1553732653653,86912,34319,34561,715654,179901,0393,270,8954,505,19547,755,067238,775,335
-1-5-53-73-265-365-3,869-12,343-19,345-61,715-654,179-901,039-3,270,895-4,505,195-47,755,067-238,775,335

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