Q: What are the factor combinations of the number 553,504,765?

 A:
Positive:   1 x 5535047655 x 11070095311 x 5031861555 x 10063723
Negative: -1 x -553504765-5 x -110700953-11 x -50318615-55 x -10063723


How do I find the factor combinations of the number 553,504,765?

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 553,504,765, 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.

1 553,504,765
-1 -553,504,765

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 553,504,765.

Example:
1 x 553,504,765 = 553,504,765
and
-1 x -553,504,765 = 553,504,765
Notice both answers equal 553,504,765

With that explanation out of the way, let's continue. Next, we take the number 553,504,765 and divide it by 2:

553,504,765 ÷ 2 = 276,752,382.5

If the quotient is a whole number, then 2 and 276,752,382.5 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:

1 553,504,765
-1 -553,504,765

Now, we try dividing 553,504,765 by 3:

553,504,765 ÷ 3 = 184,501,588.3333

If the quotient is a whole number, then 3 and 184,501,588.3333 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:

1 553,504,765
-1 -553,504,765

Let's try dividing by 4:

553,504,765 ÷ 4 = 138,376,191.25

If the quotient is a whole number, then 4 and 138,376,191.25 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:

1 553,504,765
-1 553,504,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15115510,063,72350,318,615110,700,953553,504,765
-1-5-11-55-10,063,723-50,318,615-110,700,953-553,504,765

More Examples

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