Q: What are the factor combinations of the number 504,355,733?

 A:
Positive:   1 x 5043557337 x 7205081929 x 17391577203 x 2484511977 x 5162292543 x 1983316839 x 7374717801 x 28333
Negative: -1 x -504355733-7 x -72050819-29 x -17391577-203 x -2484511-977 x -516229-2543 x -198331-6839 x -73747-17801 x -28333


How do I find the factor combinations of the number 504,355,733?

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 504,355,733, 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.

1 504,355,733
-1 -504,355,733

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 504,355,733.

Example:
1 x 504,355,733 = 504,355,733
and
-1 x -504,355,733 = 504,355,733
Notice both answers equal 504,355,733

With that explanation out of the way, let's continue. Next, we take the number 504,355,733 and divide it by 2:

504,355,733 ÷ 2 = 252,177,866.5

If the quotient is a whole number, then 2 and 252,177,866.5 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:

1 504,355,733
-1 -504,355,733

Now, we try dividing 504,355,733 by 3:

504,355,733 ÷ 3 = 168,118,577.6667

If the quotient is a whole number, then 3 and 168,118,577.6667 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:

1 504,355,733
-1 -504,355,733

Let's try dividing by 4:

504,355,733 ÷ 4 = 126,088,933.25

If the quotient is a whole number, then 4 and 126,088,933.25 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:

1 504,355,733
-1 504,355,733
Keep dividing by the next highest number until you cannot divide anymore.

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

17292039772,5436,83917,80128,33373,747198,331516,2292,484,51117,391,57772,050,819504,355,733
-1-7-29-203-977-2,543-6,839-17,801-28,333-73,747-198,331-516,229-2,484,511-17,391,577-72,050,819-504,355,733

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