Q: What are the factor combinations of the number 560,115,824?

 A:
Positive:   1 x 5601158242 x 2800579124 x 1400289568 x 7001447816 x 35007239701 x 7990241402 x 3995122804 x 1997565608 x 9987811216 x 49939
Negative: -1 x -560115824-2 x -280057912-4 x -140028956-8 x -70014478-16 x -35007239-701 x -799024-1402 x -399512-2804 x -199756-5608 x -99878-11216 x -49939


How do I find the factor combinations of the number 560,115,824?

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 560,115,824, 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.

1 560,115,824
-1 -560,115,824

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 560,115,824.

Example:
1 x 560,115,824 = 560,115,824
and
-1 x -560,115,824 = 560,115,824
Notice both answers equal 560,115,824

With that explanation out of the way, let's continue. Next, we take the number 560,115,824 and divide it by 2:

560,115,824 ÷ 2 = 280,057,912

If the quotient is a whole number, then 2 and 280,057,912 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 280,057,912 560,115,824
-1 -2 -280,057,912 -560,115,824

Now, we try dividing 560,115,824 by 3:

560,115,824 ÷ 3 = 186,705,274.6667

If the quotient is a whole number, then 3 and 186,705,274.6667 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 2 280,057,912 560,115,824
-1 -2 -280,057,912 -560,115,824

Let's try dividing by 4:

560,115,824 ÷ 4 = 140,028,956

If the quotient is a whole number, then 4 and 140,028,956 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 140,028,956 280,057,912 560,115,824
-1 -2 -4 -140,028,956 -280,057,912 560,115,824
Keep dividing by the next highest number until you cannot divide anymore.

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

1248167011,4022,8045,60811,21649,93999,878199,756399,512799,02435,007,23970,014,478140,028,956280,057,912560,115,824
-1-2-4-8-16-701-1,402-2,804-5,608-11,216-49,939-99,878-199,756-399,512-799,024-35,007,239-70,014,478-140,028,956-280,057,912-560,115,824

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