Q: What are the factor combinations of the number 745,532,609?

 A:
Positive:   1 x 74553260929 x 2570802131 x 2404943953 x 14066653899 x 8292911537 x 4850571643 x 45376315647 x 47647
Negative: -1 x -745532609-29 x -25708021-31 x -24049439-53 x -14066653-899 x -829291-1537 x -485057-1643 x -453763-15647 x -47647


How do I find the factor combinations of the number 745,532,609?

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 745,532,609, 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.

1 745,532,609
-1 -745,532,609

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 745,532,609.

Example:
1 x 745,532,609 = 745,532,609
and
-1 x -745,532,609 = 745,532,609
Notice both answers equal 745,532,609

With that explanation out of the way, let's continue. Next, we take the number 745,532,609 and divide it by 2:

745,532,609 ÷ 2 = 372,766,304.5

If the quotient is a whole number, then 2 and 372,766,304.5 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:

1 745,532,609
-1 -745,532,609

Now, we try dividing 745,532,609 by 3:

745,532,609 ÷ 3 = 248,510,869.6667

If the quotient is a whole number, then 3 and 248,510,869.6667 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:

1 745,532,609
-1 -745,532,609

Let's try dividing by 4:

745,532,609 ÷ 4 = 186,383,152.25

If the quotient is a whole number, then 4 and 186,383,152.25 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:

1 745,532,609
-1 745,532,609
Keep dividing by the next highest number until you cannot divide anymore.

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

12931538991,5371,64315,64747,647453,763485,057829,29114,066,65324,049,43925,708,021745,532,609
-1-29-31-53-899-1,537-1,643-15,647-47,647-453,763-485,057-829,291-14,066,653-24,049,439-25,708,021-745,532,609

More Examples

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