Q: What are the factor combinations of the number 240,163,505?

 A:
Positive:   1 x 2401635055 x 4803270117 x 1412726585 x 2825453139 x 1727795695 x 3455592363 x 10163511815 x 20327
Negative: -1 x -240163505-5 x -48032701-17 x -14127265-85 x -2825453-139 x -1727795-695 x -345559-2363 x -101635-11815 x -20327


How do I find the factor combinations of the number 240,163,505?

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 240,163,505, 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.

1 240,163,505
-1 -240,163,505

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 240,163,505.

Example:
1 x 240,163,505 = 240,163,505
and
-1 x -240,163,505 = 240,163,505
Notice both answers equal 240,163,505

With that explanation out of the way, let's continue. Next, we take the number 240,163,505 and divide it by 2:

240,163,505 ÷ 2 = 120,081,752.5

If the quotient is a whole number, then 2 and 120,081,752.5 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:

1 240,163,505
-1 -240,163,505

Now, we try dividing 240,163,505 by 3:

240,163,505 ÷ 3 = 80,054,501.6667

If the quotient is a whole number, then 3 and 80,054,501.6667 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:

1 240,163,505
-1 -240,163,505

Let's try dividing by 4:

240,163,505 ÷ 4 = 60,040,876.25

If the quotient is a whole number, then 4 and 60,040,876.25 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:

1 240,163,505
-1 240,163,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851396952,36311,81520,327101,635345,5591,727,7952,825,45314,127,26548,032,701240,163,505
-1-5-17-85-139-695-2,363-11,815-20,327-101,635-345,559-1,727,795-2,825,453-14,127,265-48,032,701-240,163,505

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