Q: What are the factor combinations of the number 225,344,123?

 A:
Positive:   1 x 22534412319 x 1186021729 x 777048743 x 5240561551 x 408973817 x 2758191247 x 1807099511 x 23693
Negative: -1 x -225344123-19 x -11860217-29 x -7770487-43 x -5240561-551 x -408973-817 x -275819-1247 x -180709-9511 x -23693


How do I find the factor combinations of the number 225,344,123?

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 225,344,123, 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.

1 225,344,123
-1 -225,344,123

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 225,344,123.

Example:
1 x 225,344,123 = 225,344,123
and
-1 x -225,344,123 = 225,344,123
Notice both answers equal 225,344,123

With that explanation out of the way, let's continue. Next, we take the number 225,344,123 and divide it by 2:

225,344,123 ÷ 2 = 112,672,061.5

If the quotient is a whole number, then 2 and 112,672,061.5 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:

1 225,344,123
-1 -225,344,123

Now, we try dividing 225,344,123 by 3:

225,344,123 ÷ 3 = 75,114,707.6667

If the quotient is a whole number, then 3 and 75,114,707.6667 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:

1 225,344,123
-1 -225,344,123

Let's try dividing by 4:

225,344,123 ÷ 4 = 56,336,030.75

If the quotient is a whole number, then 4 and 56,336,030.75 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:

1 225,344,123
-1 225,344,123
Keep dividing by the next highest number until you cannot divide anymore.

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

11929435518171,2479,51123,693180,709275,819408,9735,240,5617,770,48711,860,217225,344,123
-1-19-29-43-551-817-1,247-9,511-23,693-180,709-275,819-408,973-5,240,561-7,770,487-11,860,217-225,344,123

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