Q: What are the factor combinations of the number 636,263,621?

 A:
Positive:   1 x 6362636217 x 9089480319 x 33487559133 x 47839371753 x 3629572729 x 23314912271 x 5185119103 x 33307
Negative: -1 x -636263621-7 x -90894803-19 x -33487559-133 x -4783937-1753 x -362957-2729 x -233149-12271 x -51851-19103 x -33307


How do I find the factor combinations of the number 636,263,621?

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 636,263,621, 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.

1 636,263,621
-1 -636,263,621

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 636,263,621.

Example:
1 x 636,263,621 = 636,263,621
and
-1 x -636,263,621 = 636,263,621
Notice both answers equal 636,263,621

With that explanation out of the way, let's continue. Next, we take the number 636,263,621 and divide it by 2:

636,263,621 ÷ 2 = 318,131,810.5

If the quotient is a whole number, then 2 and 318,131,810.5 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:

1 636,263,621
-1 -636,263,621

Now, we try dividing 636,263,621 by 3:

636,263,621 ÷ 3 = 212,087,873.6667

If the quotient is a whole number, then 3 and 212,087,873.6667 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:

1 636,263,621
-1 -636,263,621

Let's try dividing by 4:

636,263,621 ÷ 4 = 159,065,905.25

If the quotient is a whole number, then 4 and 159,065,905.25 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:

1 636,263,621
-1 636,263,621
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331,7532,72912,27119,10333,30751,851233,149362,9574,783,93733,487,55990,894,803636,263,621
-1-7-19-133-1,753-2,729-12,271-19,103-33,307-51,851-233,149-362,957-4,783,937-33,487,559-90,894,803-636,263,621

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