Q: What are the factor combinations of the number 616,164,643?

 A:
Positive:   1 x 61616464317 x 36244979103 x 5982181293 x 21029511201 x 5130431751 x 3518934981 x 12370320417 x 30179
Negative: -1 x -616164643-17 x -36244979-103 x -5982181-293 x -2102951-1201 x -513043-1751 x -351893-4981 x -123703-20417 x -30179


How do I find the factor combinations of the number 616,164,643?

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 616,164,643, 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.

1 616,164,643
-1 -616,164,643

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 616,164,643.

Example:
1 x 616,164,643 = 616,164,643
and
-1 x -616,164,643 = 616,164,643
Notice both answers equal 616,164,643

With that explanation out of the way, let's continue. Next, we take the number 616,164,643 and divide it by 2:

616,164,643 ÷ 2 = 308,082,321.5

If the quotient is a whole number, then 2 and 308,082,321.5 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:

1 616,164,643
-1 -616,164,643

Now, we try dividing 616,164,643 by 3:

616,164,643 ÷ 3 = 205,388,214.3333

If the quotient is a whole number, then 3 and 205,388,214.3333 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:

1 616,164,643
-1 -616,164,643

Let's try dividing by 4:

616,164,643 ÷ 4 = 154,041,160.75

If the quotient is a whole number, then 4 and 154,041,160.75 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:

1 616,164,643
-1 616,164,643
Keep dividing by the next highest number until you cannot divide anymore.

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

1171032931,2011,7514,98120,41730,179123,703351,893513,0432,102,9515,982,18136,244,979616,164,643
-1-17-103-293-1,201-1,751-4,981-20,417-30,179-123,703-351,893-513,043-2,102,951-5,982,181-36,244,979-616,164,643

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