Q: What are the factor combinations of the number 745,327,775?

 A:
Positive:   1 x 7453277755 x 14906555525 x 29813111131 x 5689525655 x 11379053275 x 227581
Negative: -1 x -745327775-5 x -149065555-25 x -29813111-131 x -5689525-655 x -1137905-3275 x -227581


How do I find the factor combinations of the number 745,327,775?

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 745,327,775, 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.

1 745,327,775
-1 -745,327,775

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 745,327,775.

Example:
1 x 745,327,775 = 745,327,775
and
-1 x -745,327,775 = 745,327,775
Notice both answers equal 745,327,775

With that explanation out of the way, let's continue. Next, we take the number 745,327,775 and divide it by 2:

745,327,775 ÷ 2 = 372,663,887.5

If the quotient is a whole number, then 2 and 372,663,887.5 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:

1 745,327,775
-1 -745,327,775

Now, we try dividing 745,327,775 by 3:

745,327,775 ÷ 3 = 248,442,591.6667

If the quotient is a whole number, then 3 and 248,442,591.6667 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:

1 745,327,775
-1 -745,327,775

Let's try dividing by 4:

745,327,775 ÷ 4 = 186,331,943.75

If the quotient is a whole number, then 4 and 186,331,943.75 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:

1 745,327,775
-1 745,327,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15251316553,275227,5811,137,9055,689,52529,813,111149,065,555745,327,775
-1-5-25-131-655-3,275-227,581-1,137,905-5,689,525-29,813,111-149,065,555-745,327,775

More Examples

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