Q: What are the factor combinations of the number 400,550,405?

 A:
Positive:   1 x 4005504055 x 8011008123 x 1741523571 x 5641555115 x 3483047355 x 11283111633 x 2452858165 x 49057
Negative: -1 x -400550405-5 x -80110081-23 x -17415235-71 x -5641555-115 x -3483047-355 x -1128311-1633 x -245285-8165 x -49057


How do I find the factor combinations of the number 400,550,405?

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 400,550,405, 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.

1 400,550,405
-1 -400,550,405

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 400,550,405.

Example:
1 x 400,550,405 = 400,550,405
and
-1 x -400,550,405 = 400,550,405
Notice both answers equal 400,550,405

With that explanation out of the way, let's continue. Next, we take the number 400,550,405 and divide it by 2:

400,550,405 ÷ 2 = 200,275,202.5

If the quotient is a whole number, then 2 and 200,275,202.5 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:

1 400,550,405
-1 -400,550,405

Now, we try dividing 400,550,405 by 3:

400,550,405 ÷ 3 = 133,516,801.6667

If the quotient is a whole number, then 3 and 133,516,801.6667 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:

1 400,550,405
-1 -400,550,405

Let's try dividing by 4:

400,550,405 ÷ 4 = 100,137,601.25

If the quotient is a whole number, then 4 and 100,137,601.25 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:

1 400,550,405
-1 400,550,405
Keep dividing by the next highest number until you cannot divide anymore.

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

1523711153551,6338,16549,057245,2851,128,3113,483,0475,641,55517,415,23580,110,081400,550,405
-1-5-23-71-115-355-1,633-8,165-49,057-245,285-1,128,311-3,483,047-5,641,555-17,415,235-80,110,081-400,550,405

More Examples

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