Q: What are the factor combinations of the number 553,504,343?

 A:
Positive:   1 x 5535043437 x 7907204917 x 3255907949 x 11296007119 x 4651297833 x 664471
Negative: -1 x -553504343-7 x -79072049-17 x -32559079-49 x -11296007-119 x -4651297-833 x -664471


How do I find the factor combinations of the number 553,504,343?

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 553,504,343, 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.

1 553,504,343
-1 -553,504,343

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 553,504,343.

Example:
1 x 553,504,343 = 553,504,343
and
-1 x -553,504,343 = 553,504,343
Notice both answers equal 553,504,343

With that explanation out of the way, let's continue. Next, we take the number 553,504,343 and divide it by 2:

553,504,343 ÷ 2 = 276,752,171.5

If the quotient is a whole number, then 2 and 276,752,171.5 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:

1 553,504,343
-1 -553,504,343

Now, we try dividing 553,504,343 by 3:

553,504,343 ÷ 3 = 184,501,447.6667

If the quotient is a whole number, then 3 and 184,501,447.6667 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:

1 553,504,343
-1 -553,504,343

Let's try dividing by 4:

553,504,343 ÷ 4 = 138,376,085.75

If the quotient is a whole number, then 4 and 138,376,085.75 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:

1 553,504,343
-1 553,504,343
Keep dividing by the next highest number until you cannot divide anymore.

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

171749119833664,4714,651,29711,296,00732,559,07979,072,049553,504,343
-1-7-17-49-119-833-664,471-4,651,297-11,296,007-32,559,079-79,072,049-553,504,343

More Examples

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