Q: What are the factor combinations of the number 224,032,163?

 A:
Positive:   1 x 22403216329 x 7725247677 x 33091911411 x 19633
Negative: -1 x -224032163-29 x -7725247-677 x -330919-11411 x -19633


How do I find the factor combinations of the number 224,032,163?

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 224,032,163, 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.

1 224,032,163
-1 -224,032,163

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 224,032,163.

Example:
1 x 224,032,163 = 224,032,163
and
-1 x -224,032,163 = 224,032,163
Notice both answers equal 224,032,163

With that explanation out of the way, let's continue. Next, we take the number 224,032,163 and divide it by 2:

224,032,163 ÷ 2 = 112,016,081.5

If the quotient is a whole number, then 2 and 112,016,081.5 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:

1 224,032,163
-1 -224,032,163

Now, we try dividing 224,032,163 by 3:

224,032,163 ÷ 3 = 74,677,387.6667

If the quotient is a whole number, then 3 and 74,677,387.6667 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:

1 224,032,163
-1 -224,032,163

Let's try dividing by 4:

224,032,163 ÷ 4 = 56,008,040.75

If the quotient is a whole number, then 4 and 56,008,040.75 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:

1 224,032,163
-1 224,032,163
Keep dividing by the next highest number until you cannot divide anymore.

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

12967711,41119,633330,9197,725,247224,032,163
-1-29-677-11,411-19,633-330,919-7,725,247-224,032,163

More Examples

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