Q: What are the factor combinations of the number 646,405,643?

 A:
Positive:   1 x 64640564313 x 49723511109 x 5930327373 x 17329911223 x 5285411417 x 4561794849 x 13330715899 x 40657
Negative: -1 x -646405643-13 x -49723511-109 x -5930327-373 x -1732991-1223 x -528541-1417 x -456179-4849 x -133307-15899 x -40657


How do I find the factor combinations of the number 646,405,643?

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 646,405,643, 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.

1 646,405,643
-1 -646,405,643

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 646,405,643.

Example:
1 x 646,405,643 = 646,405,643
and
-1 x -646,405,643 = 646,405,643
Notice both answers equal 646,405,643

With that explanation out of the way, let's continue. Next, we take the number 646,405,643 and divide it by 2:

646,405,643 ÷ 2 = 323,202,821.5

If the quotient is a whole number, then 2 and 323,202,821.5 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:

1 646,405,643
-1 -646,405,643

Now, we try dividing 646,405,643 by 3:

646,405,643 ÷ 3 = 215,468,547.6667

If the quotient is a whole number, then 3 and 215,468,547.6667 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:

1 646,405,643
-1 -646,405,643

Let's try dividing by 4:

646,405,643 ÷ 4 = 161,601,410.75

If the quotient is a whole number, then 4 and 161,601,410.75 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:

1 646,405,643
-1 646,405,643
Keep dividing by the next highest number until you cannot divide anymore.

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

1131093731,2231,4174,84915,89940,657133,307456,179528,5411,732,9915,930,32749,723,511646,405,643
-1-13-109-373-1,223-1,417-4,849-15,899-40,657-133,307-456,179-528,541-1,732,991-5,930,327-49,723,511-646,405,643

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