Q: What are the factor combinations of the number 562,601,513?

 A:
Positive:   1 x 5626015131439 x 390967
Negative: -1 x -562601513-1439 x -390967


How do I find the factor combinations of the number 562,601,513?

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 562,601,513, 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.

1 562,601,513
-1 -562,601,513

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 562,601,513.

Example:
1 x 562,601,513 = 562,601,513
and
-1 x -562,601,513 = 562,601,513
Notice both answers equal 562,601,513

With that explanation out of the way, let's continue. Next, we take the number 562,601,513 and divide it by 2:

562,601,513 ÷ 2 = 281,300,756.5

If the quotient is a whole number, then 2 and 281,300,756.5 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:

1 562,601,513
-1 -562,601,513

Now, we try dividing 562,601,513 by 3:

562,601,513 ÷ 3 = 187,533,837.6667

If the quotient is a whole number, then 3 and 187,533,837.6667 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:

1 562,601,513
-1 -562,601,513

Let's try dividing by 4:

562,601,513 ÷ 4 = 140,650,378.25

If the quotient is a whole number, then 4 and 140,650,378.25 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:

1 562,601,513
-1 562,601,513
Keep dividing by the next highest number until you cannot divide anymore.

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

11,439390,967562,601,513
-1-1,439-390,967-562,601,513

More Examples

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