Q: What are the factor combinations of the number 612,371,123?

 A:
Positive:   1 x 6123711237 x 8748158913 x 4710547191 x 6729353967 x 6332696769 x 904676959 x 8799712571 x 48713
Negative: -1 x -612371123-7 x -87481589-13 x -47105471-91 x -6729353-967 x -633269-6769 x -90467-6959 x -87997-12571 x -48713


How do I find the factor combinations of the number 612,371,123?

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 612,371,123, 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.

1 612,371,123
-1 -612,371,123

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 612,371,123.

Example:
1 x 612,371,123 = 612,371,123
and
-1 x -612,371,123 = 612,371,123
Notice both answers equal 612,371,123

With that explanation out of the way, let's continue. Next, we take the number 612,371,123 and divide it by 2:

612,371,123 ÷ 2 = 306,185,561.5

If the quotient is a whole number, then 2 and 306,185,561.5 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:

1 612,371,123
-1 -612,371,123

Now, we try dividing 612,371,123 by 3:

612,371,123 ÷ 3 = 204,123,707.6667

If the quotient is a whole number, then 3 and 204,123,707.6667 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:

1 612,371,123
-1 -612,371,123

Let's try dividing by 4:

612,371,123 ÷ 4 = 153,092,780.75

If the quotient is a whole number, then 4 and 153,092,780.75 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:

1 612,371,123
-1 612,371,123
Keep dividing by the next highest number until you cannot divide anymore.

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

1713919676,7696,95912,57148,71387,99790,467633,2696,729,35347,105,47187,481,589612,371,123
-1-7-13-91-967-6,769-6,959-12,571-48,713-87,997-90,467-633,269-6,729,353-47,105,471-87,481,589-612,371,123

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