Q: What are the factor combinations of the number 240,631,195?

 A:
Positive:   1 x 2406311955 x 481262397 x 3437588535 x 6875177163 x 1476265815 x 2952531141 x 2108955705 x 42179
Negative: -1 x -240631195-5 x -48126239-7 x -34375885-35 x -6875177-163 x -1476265-815 x -295253-1141 x -210895-5705 x -42179


How do I find the factor combinations of the number 240,631,195?

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 240,631,195, 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.

1 240,631,195
-1 -240,631,195

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 240,631,195.

Example:
1 x 240,631,195 = 240,631,195
and
-1 x -240,631,195 = 240,631,195
Notice both answers equal 240,631,195

With that explanation out of the way, let's continue. Next, we take the number 240,631,195 and divide it by 2:

240,631,195 ÷ 2 = 120,315,597.5

If the quotient is a whole number, then 2 and 120,315,597.5 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:

1 240,631,195
-1 -240,631,195

Now, we try dividing 240,631,195 by 3:

240,631,195 ÷ 3 = 80,210,398.3333

If the quotient is a whole number, then 3 and 80,210,398.3333 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:

1 240,631,195
-1 -240,631,195

Let's try dividing by 4:

240,631,195 ÷ 4 = 60,157,798.75

If the quotient is a whole number, then 4 and 60,157,798.75 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:

1 240,631,195
-1 240,631,195
Keep dividing by the next highest number until you cannot divide anymore.

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

157351638151,1415,70542,179210,895295,2531,476,2656,875,17734,375,88548,126,239240,631,195
-1-5-7-35-163-815-1,141-5,705-42,179-210,895-295,253-1,476,265-6,875,177-34,375,885-48,126,239-240,631,195

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