Q: What are the factor combinations of the number 238,481,155?

 A:
Positive:   1 x 2384811555 x 4769623111 x 2168010555 x 4336021491 x 4857052455 x 971415401 x 441558831 x 27005
Negative: -1 x -238481155-5 x -47696231-11 x -21680105-55 x -4336021-491 x -485705-2455 x -97141-5401 x -44155-8831 x -27005


How do I find the factor combinations of the number 238,481,155?

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 238,481,155, 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.

1 238,481,155
-1 -238,481,155

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 238,481,155.

Example:
1 x 238,481,155 = 238,481,155
and
-1 x -238,481,155 = 238,481,155
Notice both answers equal 238,481,155

With that explanation out of the way, let's continue. Next, we take the number 238,481,155 and divide it by 2:

238,481,155 ÷ 2 = 119,240,577.5

If the quotient is a whole number, then 2 and 119,240,577.5 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:

1 238,481,155
-1 -238,481,155

Now, we try dividing 238,481,155 by 3:

238,481,155 ÷ 3 = 79,493,718.3333

If the quotient is a whole number, then 3 and 79,493,718.3333 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:

1 238,481,155
-1 -238,481,155

Let's try dividing by 4:

238,481,155 ÷ 4 = 59,620,288.75

If the quotient is a whole number, then 4 and 59,620,288.75 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:

1 238,481,155
-1 238,481,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554912,4555,4018,83127,00544,15597,141485,7054,336,02121,680,10547,696,231238,481,155
-1-5-11-55-491-2,455-5,401-8,831-27,005-44,155-97,141-485,705-4,336,021-21,680,105-47,696,231-238,481,155

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