Q: What are the factor combinations of the number 202,322,009?

 A:
Positive:   1 x 20232200929 x 697662143 x 470516389 x 22732811247 x 1622471823 x 1109832581 x 783893827 x 52867
Negative: -1 x -202322009-29 x -6976621-43 x -4705163-89 x -2273281-1247 x -162247-1823 x -110983-2581 x -78389-3827 x -52867


How do I find the factor combinations of the number 202,322,009?

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 202,322,009, 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.

1 202,322,009
-1 -202,322,009

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 202,322,009.

Example:
1 x 202,322,009 = 202,322,009
and
-1 x -202,322,009 = 202,322,009
Notice both answers equal 202,322,009

With that explanation out of the way, let's continue. Next, we take the number 202,322,009 and divide it by 2:

202,322,009 ÷ 2 = 101,161,004.5

If the quotient is a whole number, then 2 and 101,161,004.5 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:

1 202,322,009
-1 -202,322,009

Now, we try dividing 202,322,009 by 3:

202,322,009 ÷ 3 = 67,440,669.6667

If the quotient is a whole number, then 3 and 67,440,669.6667 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:

1 202,322,009
-1 -202,322,009

Let's try dividing by 4:

202,322,009 ÷ 4 = 50,580,502.25

If the quotient is a whole number, then 4 and 50,580,502.25 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:

1 202,322,009
-1 202,322,009
Keep dividing by the next highest number until you cannot divide anymore.

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

12943891,2471,8232,5813,82752,86778,389110,983162,2472,273,2814,705,1636,976,621202,322,009
-1-29-43-89-1,247-1,823-2,581-3,827-52,867-78,389-110,983-162,247-2,273,281-4,705,163-6,976,621-202,322,009

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