Q: What are the factor combinations of the number 223,013,029?

 A:
Positive:   1 x 22301302953 x 420779373 x 30549733869 x 57641
Negative: -1 x -223013029-53 x -4207793-73 x -3054973-3869 x -57641


How do I find the factor combinations of the number 223,013,029?

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 223,013,029, 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.

1 223,013,029
-1 -223,013,029

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 223,013,029.

Example:
1 x 223,013,029 = 223,013,029
and
-1 x -223,013,029 = 223,013,029
Notice both answers equal 223,013,029

With that explanation out of the way, let's continue. Next, we take the number 223,013,029 and divide it by 2:

223,013,029 ÷ 2 = 111,506,514.5

If the quotient is a whole number, then 2 and 111,506,514.5 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:

1 223,013,029
-1 -223,013,029

Now, we try dividing 223,013,029 by 3:

223,013,029 ÷ 3 = 74,337,676.3333

If the quotient is a whole number, then 3 and 74,337,676.3333 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:

1 223,013,029
-1 -223,013,029

Let's try dividing by 4:

223,013,029 ÷ 4 = 55,753,257.25

If the quotient is a whole number, then 4 and 55,753,257.25 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:

1 223,013,029
-1 223,013,029
Keep dividing by the next highest number until you cannot divide anymore.

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

153733,86957,6413,054,9734,207,793223,013,029
-1-53-73-3,869-57,641-3,054,973-4,207,793-223,013,029

More Examples

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