Q: What are the factor combinations of the number 612,560,123?

 A:
Positive:   1 x 6125601237 x 8750858937 x 1655567949 x 12501227259 x 23650971813 x 337871
Negative: -1 x -612560123-7 x -87508589-37 x -16555679-49 x -12501227-259 x -2365097-1813 x -337871


How do I find the factor combinations of the number 612,560,123?

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 612,560,123, 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.

1 612,560,123
-1 -612,560,123

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 612,560,123.

Example:
1 x 612,560,123 = 612,560,123
and
-1 x -612,560,123 = 612,560,123
Notice both answers equal 612,560,123

With that explanation out of the way, let's continue. Next, we take the number 612,560,123 and divide it by 2:

612,560,123 ÷ 2 = 306,280,061.5

If the quotient is a whole number, then 2 and 306,280,061.5 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:

1 612,560,123
-1 -612,560,123

Now, we try dividing 612,560,123 by 3:

612,560,123 ÷ 3 = 204,186,707.6667

If the quotient is a whole number, then 3 and 204,186,707.6667 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:

1 612,560,123
-1 -612,560,123

Let's try dividing by 4:

612,560,123 ÷ 4 = 153,140,030.75

If the quotient is a whole number, then 4 and 153,140,030.75 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:

1 612,560,123
-1 612,560,123
Keep dividing by the next highest number until you cannot divide anymore.

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

1737492591,813337,8712,365,09712,501,22716,555,67987,508,589612,560,123
-1-7-37-49-259-1,813-337,871-2,365,097-12,501,227-16,555,679-87,508,589-612,560,123

More Examples

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