Q: What are the factor combinations of the number 240,771,125?

 A:
Positive:   1 x 2407711255 x 481542257 x 3439587525 x 963084535 x 6879175125 x 1926169175 x 1375835875 x 275167
Negative: -1 x -240771125-5 x -48154225-7 x -34395875-25 x -9630845-35 x -6879175-125 x -1926169-175 x -1375835-875 x -275167


How do I find the factor combinations of the number 240,771,125?

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 240,771,125, 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.

1 240,771,125
-1 -240,771,125

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 240,771,125.

Example:
1 x 240,771,125 = 240,771,125
and
-1 x -240,771,125 = 240,771,125
Notice both answers equal 240,771,125

With that explanation out of the way, let's continue. Next, we take the number 240,771,125 and divide it by 2:

240,771,125 ÷ 2 = 120,385,562.5

If the quotient is a whole number, then 2 and 120,385,562.5 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:

1 240,771,125
-1 -240,771,125

Now, we try dividing 240,771,125 by 3:

240,771,125 ÷ 3 = 80,257,041.6667

If the quotient is a whole number, then 3 and 80,257,041.6667 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:

1 240,771,125
-1 -240,771,125

Let's try dividing by 4:

240,771,125 ÷ 4 = 60,192,781.25

If the quotient is a whole number, then 4 and 60,192,781.25 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:

1 240,771,125
-1 240,771,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875275,1671,375,8351,926,1696,879,1759,630,84534,395,87548,154,225240,771,125
-1-5-7-25-35-125-175-875-275,167-1,375,835-1,926,169-6,879,175-9,630,845-34,395,875-48,154,225-240,771,125

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