Q: What are the factor combinations of the number 562,433,485?

 A:
Positive:   1 x 5624334855 x 11248669737 x 15200905185 x 3040181787 x 7146553863 x 1455953935 x 14293119315 x 29119
Negative: -1 x -562433485-5 x -112486697-37 x -15200905-185 x -3040181-787 x -714655-3863 x -145595-3935 x -142931-19315 x -29119


How do I find the factor combinations of the number 562,433,485?

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 562,433,485, 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.

1 562,433,485
-1 -562,433,485

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 562,433,485.

Example:
1 x 562,433,485 = 562,433,485
and
-1 x -562,433,485 = 562,433,485
Notice both answers equal 562,433,485

With that explanation out of the way, let's continue. Next, we take the number 562,433,485 and divide it by 2:

562,433,485 ÷ 2 = 281,216,742.5

If the quotient is a whole number, then 2 and 281,216,742.5 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:

1 562,433,485
-1 -562,433,485

Now, we try dividing 562,433,485 by 3:

562,433,485 ÷ 3 = 187,477,828.3333

If the quotient is a whole number, then 3 and 187,477,828.3333 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:

1 562,433,485
-1 -562,433,485

Let's try dividing by 4:

562,433,485 ÷ 4 = 140,608,371.25

If the quotient is a whole number, then 4 and 140,608,371.25 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:

1 562,433,485
-1 562,433,485
Keep dividing by the next highest number until you cannot divide anymore.

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

15371857873,8633,93519,31529,119142,931145,595714,6553,040,18115,200,905112,486,697562,433,485
-1-5-37-185-787-3,863-3,935-19,315-29,119-142,931-145,595-714,655-3,040,181-15,200,905-112,486,697-562,433,485

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