Q: What are the factor combinations of the number 644,663,009?

 A:
Positive:   1 x 64466300943 x 1499216353 x 12163453191 x 33751991481 x 4352892279 x 2828718213 x 7849310123 x 63683
Negative: -1 x -644663009-43 x -14992163-53 x -12163453-191 x -3375199-1481 x -435289-2279 x -282871-8213 x -78493-10123 x -63683


How do I find the factor combinations of the number 644,663,009?

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 644,663,009, 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.

1 644,663,009
-1 -644,663,009

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 644,663,009.

Example:
1 x 644,663,009 = 644,663,009
and
-1 x -644,663,009 = 644,663,009
Notice both answers equal 644,663,009

With that explanation out of the way, let's continue. Next, we take the number 644,663,009 and divide it by 2:

644,663,009 ÷ 2 = 322,331,504.5

If the quotient is a whole number, then 2 and 322,331,504.5 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:

1 644,663,009
-1 -644,663,009

Now, we try dividing 644,663,009 by 3:

644,663,009 ÷ 3 = 214,887,669.6667

If the quotient is a whole number, then 3 and 214,887,669.6667 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:

1 644,663,009
-1 -644,663,009

Let's try dividing by 4:

644,663,009 ÷ 4 = 161,165,752.25

If the quotient is a whole number, then 4 and 161,165,752.25 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:

1 644,663,009
-1 644,663,009
Keep dividing by the next highest number until you cannot divide anymore.

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

143531911,4812,2798,21310,12363,68378,493282,871435,2893,375,19912,163,45314,992,163644,663,009
-1-43-53-191-1,481-2,279-8,213-10,123-63,683-78,493-282,871-435,289-3,375,199-12,163,453-14,992,163-644,663,009

More Examples

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