Q: What are the factor combinations of the number 562,054,363?

 A:
Positive:   1 x 56205436313 x 4323495141 x 13708643191 x 2942693533 x 10545112483 x 2263615521 x 1018037831 x 71773
Negative: -1 x -562054363-13 x -43234951-41 x -13708643-191 x -2942693-533 x -1054511-2483 x -226361-5521 x -101803-7831 x -71773


How do I find the factor combinations of the number 562,054,363?

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 562,054,363, 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.

1 562,054,363
-1 -562,054,363

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 562,054,363.

Example:
1 x 562,054,363 = 562,054,363
and
-1 x -562,054,363 = 562,054,363
Notice both answers equal 562,054,363

With that explanation out of the way, let's continue. Next, we take the number 562,054,363 and divide it by 2:

562,054,363 ÷ 2 = 281,027,181.5

If the quotient is a whole number, then 2 and 281,027,181.5 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:

1 562,054,363
-1 -562,054,363

Now, we try dividing 562,054,363 by 3:

562,054,363 ÷ 3 = 187,351,454.3333

If the quotient is a whole number, then 3 and 187,351,454.3333 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:

1 562,054,363
-1 -562,054,363

Let's try dividing by 4:

562,054,363 ÷ 4 = 140,513,590.75

If the quotient is a whole number, then 4 and 140,513,590.75 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:

1 562,054,363
-1 562,054,363
Keep dividing by the next highest number until you cannot divide anymore.

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

113411915332,4835,5217,83171,773101,803226,3611,054,5112,942,69313,708,64343,234,951562,054,363
-1-13-41-191-533-2,483-5,521-7,831-71,773-101,803-226,361-1,054,511-2,942,693-13,708,643-43,234,951-562,054,363

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