Q: What are the factor combinations of the number 224,243,405?

 A:
Positive:   1 x 2242434055 x 448486813271 x 6855513711 x 16355
Negative: -1 x -224243405-5 x -44848681-3271 x -68555-13711 x -16355


How do I find the factor combinations of the number 224,243,405?

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 224,243,405, 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.

1 224,243,405
-1 -224,243,405

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 224,243,405.

Example:
1 x 224,243,405 = 224,243,405
and
-1 x -224,243,405 = 224,243,405
Notice both answers equal 224,243,405

With that explanation out of the way, let's continue. Next, we take the number 224,243,405 and divide it by 2:

224,243,405 ÷ 2 = 112,121,702.5

If the quotient is a whole number, then 2 and 112,121,702.5 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:

1 224,243,405
-1 -224,243,405

Now, we try dividing 224,243,405 by 3:

224,243,405 ÷ 3 = 74,747,801.6667

If the quotient is a whole number, then 3 and 74,747,801.6667 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:

1 224,243,405
-1 -224,243,405

Let's try dividing by 4:

224,243,405 ÷ 4 = 56,060,851.25

If the quotient is a whole number, then 4 and 56,060,851.25 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:

1 224,243,405
-1 224,243,405
Keep dividing by the next highest number until you cannot divide anymore.

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

153,27113,71116,35568,55544,848,681224,243,405
-1-5-3,271-13,711-16,355-68,555-44,848,681-224,243,405

More Examples

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