Q: What are the factor combinations of the number 562,436,653?

 A:
Positive:   1 x 56243665317 x 3308450961 x 922027371 x 79216431037 x 5423691207 x 4659794331 x 1298637639 x 73627
Negative: -1 x -562436653-17 x -33084509-61 x -9220273-71 x -7921643-1037 x -542369-1207 x -465979-4331 x -129863-7639 x -73627


How do I find the factor combinations of the number 562,436,653?

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 562,436,653, 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.

1 562,436,653
-1 -562,436,653

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 562,436,653.

Example:
1 x 562,436,653 = 562,436,653
and
-1 x -562,436,653 = 562,436,653
Notice both answers equal 562,436,653

With that explanation out of the way, let's continue. Next, we take the number 562,436,653 and divide it by 2:

562,436,653 ÷ 2 = 281,218,326.5

If the quotient is a whole number, then 2 and 281,218,326.5 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:

1 562,436,653
-1 -562,436,653

Now, we try dividing 562,436,653 by 3:

562,436,653 ÷ 3 = 187,478,884.3333

If the quotient is a whole number, then 3 and 187,478,884.3333 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:

1 562,436,653
-1 -562,436,653

Let's try dividing by 4:

562,436,653 ÷ 4 = 140,609,163.25

If the quotient is a whole number, then 4 and 140,609,163.25 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:

1 562,436,653
-1 562,436,653
Keep dividing by the next highest number until you cannot divide anymore.

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

11761711,0371,2074,3317,63973,627129,863465,979542,3697,921,6439,220,27333,084,509562,436,653
-1-17-61-71-1,037-1,207-4,331-7,639-73,627-129,863-465,979-542,369-7,921,643-9,220,273-33,084,509-562,436,653

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