Q: What are the factor combinations of the number 644,125,537?

 A:
Positive:   1 x 64412553711 x 58556867173 x 3723269271 x 23768471249 x 5157131903 x 3384792981 x 21607713739 x 46883
Negative: -1 x -644125537-11 x -58556867-173 x -3723269-271 x -2376847-1249 x -515713-1903 x -338479-2981 x -216077-13739 x -46883


How do I find the factor combinations of the number 644,125,537?

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 644,125,537, 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.

1 644,125,537
-1 -644,125,537

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 644,125,537.

Example:
1 x 644,125,537 = 644,125,537
and
-1 x -644,125,537 = 644,125,537
Notice both answers equal 644,125,537

With that explanation out of the way, let's continue. Next, we take the number 644,125,537 and divide it by 2:

644,125,537 ÷ 2 = 322,062,768.5

If the quotient is a whole number, then 2 and 322,062,768.5 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:

1 644,125,537
-1 -644,125,537

Now, we try dividing 644,125,537 by 3:

644,125,537 ÷ 3 = 214,708,512.3333

If the quotient is a whole number, then 3 and 214,708,512.3333 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:

1 644,125,537
-1 -644,125,537

Let's try dividing by 4:

644,125,537 ÷ 4 = 161,031,384.25

If the quotient is a whole number, then 4 and 161,031,384.25 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:

1 644,125,537
-1 644,125,537
Keep dividing by the next highest number until you cannot divide anymore.

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

1111732711,2491,9032,98113,73946,883216,077338,479515,7132,376,8473,723,26958,556,867644,125,537
-1-11-173-271-1,249-1,903-2,981-13,739-46,883-216,077-338,479-515,713-2,376,847-3,723,269-58,556,867-644,125,537

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