Q: What are the factor combinations of the number 553,641,439?

 A:
Positive:   1 x 55364143913 x 42587803
Negative: -1 x -553641439-13 x -42587803


How do I find the factor combinations of the number 553,641,439?

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 553,641,439, 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.

1 553,641,439
-1 -553,641,439

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 553,641,439.

Example:
1 x 553,641,439 = 553,641,439
and
-1 x -553,641,439 = 553,641,439
Notice both answers equal 553,641,439

With that explanation out of the way, let's continue. Next, we take the number 553,641,439 and divide it by 2:

553,641,439 ÷ 2 = 276,820,719.5

If the quotient is a whole number, then 2 and 276,820,719.5 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:

1 553,641,439
-1 -553,641,439

Now, we try dividing 553,641,439 by 3:

553,641,439 ÷ 3 = 184,547,146.3333

If the quotient is a whole number, then 3 and 184,547,146.3333 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:

1 553,641,439
-1 -553,641,439

Let's try dividing by 4:

553,641,439 ÷ 4 = 138,410,359.75

If the quotient is a whole number, then 4 and 138,410,359.75 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:

1 553,641,439
-1 553,641,439
Keep dividing by the next highest number until you cannot divide anymore.

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

11342,587,803553,641,439
-1-13-42,587,803-553,641,439

More Examples

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