Q: What are the factor combinations of the number 562,058,237?

 A:
Positive:   1 x 56205823713 x 43235249
Negative: -1 x -562058237-13 x -43235249


How do I find the factor combinations of the number 562,058,237?

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 562,058,237, 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.

1 562,058,237
-1 -562,058,237

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 562,058,237.

Example:
1 x 562,058,237 = 562,058,237
and
-1 x -562,058,237 = 562,058,237
Notice both answers equal 562,058,237

With that explanation out of the way, let's continue. Next, we take the number 562,058,237 and divide it by 2:

562,058,237 ÷ 2 = 281,029,118.5

If the quotient is a whole number, then 2 and 281,029,118.5 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:

1 562,058,237
-1 -562,058,237

Now, we try dividing 562,058,237 by 3:

562,058,237 ÷ 3 = 187,352,745.6667

If the quotient is a whole number, then 3 and 187,352,745.6667 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:

1 562,058,237
-1 -562,058,237

Let's try dividing by 4:

562,058,237 ÷ 4 = 140,514,559.25

If the quotient is a whole number, then 4 and 140,514,559.25 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:

1 562,058,237
-1 562,058,237
Keep dividing by the next highest number until you cannot divide anymore.

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

11343,235,249562,058,237
-1-13-43,235,249-562,058,237

More Examples

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