Q: What are the factor combinations of the number 732,424,139?

 A:
Positive:   1 x 73242413937 x 197952471471 x 49790913457 x 54427
Negative: -1 x -732424139-37 x -19795247-1471 x -497909-13457 x -54427


How do I find the factor combinations of the number 732,424,139?

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 732,424,139, 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.

1 732,424,139
-1 -732,424,139

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 732,424,139.

Example:
1 x 732,424,139 = 732,424,139
and
-1 x -732,424,139 = 732,424,139
Notice both answers equal 732,424,139

With that explanation out of the way, let's continue. Next, we take the number 732,424,139 and divide it by 2:

732,424,139 ÷ 2 = 366,212,069.5

If the quotient is a whole number, then 2 and 366,212,069.5 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:

1 732,424,139
-1 -732,424,139

Now, we try dividing 732,424,139 by 3:

732,424,139 ÷ 3 = 244,141,379.6667

If the quotient is a whole number, then 3 and 244,141,379.6667 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:

1 732,424,139
-1 -732,424,139

Let's try dividing by 4:

732,424,139 ÷ 4 = 183,106,034.75

If the quotient is a whole number, then 4 and 183,106,034.75 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:

1 732,424,139
-1 732,424,139
Keep dividing by the next highest number until you cannot divide anymore.

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

1371,47113,45754,427497,90919,795,247732,424,139
-1-37-1,471-13,457-54,427-497,909-19,795,247-732,424,139

More Examples

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