Q: What are the factor combinations of the number 626,225,513?

 A:
Positive:   1 x 62622551331 x 2020082341 x 15273793283 x 22128111271 x 4927031741 x 3596938773 x 7138111603 x 53971
Negative: -1 x -626225513-31 x -20200823-41 x -15273793-283 x -2212811-1271 x -492703-1741 x -359693-8773 x -71381-11603 x -53971


How do I find the factor combinations of the number 626,225,513?

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 626,225,513, 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.

1 626,225,513
-1 -626,225,513

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 626,225,513.

Example:
1 x 626,225,513 = 626,225,513
and
-1 x -626,225,513 = 626,225,513
Notice both answers equal 626,225,513

With that explanation out of the way, let's continue. Next, we take the number 626,225,513 and divide it by 2:

626,225,513 ÷ 2 = 313,112,756.5

If the quotient is a whole number, then 2 and 313,112,756.5 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:

1 626,225,513
-1 -626,225,513

Now, we try dividing 626,225,513 by 3:

626,225,513 ÷ 3 = 208,741,837.6667

If the quotient is a whole number, then 3 and 208,741,837.6667 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:

1 626,225,513
-1 -626,225,513

Let's try dividing by 4:

626,225,513 ÷ 4 = 156,556,378.25

If the quotient is a whole number, then 4 and 156,556,378.25 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:

1 626,225,513
-1 626,225,513
Keep dividing by the next highest number until you cannot divide anymore.

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

131412831,2711,7418,77311,60353,97171,381359,693492,7032,212,81115,273,79320,200,823626,225,513
-1-31-41-283-1,271-1,741-8,773-11,603-53,971-71,381-359,693-492,703-2,212,811-15,273,793-20,200,823-626,225,513

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