Q: What are the factor combinations of the number 733,076,545?

 A:
Positive:   1 x 7330765455 x 146615309
Negative: -1 x -733076545-5 x -146615309


How do I find the factor combinations of the number 733,076,545?

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 733,076,545, 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.

1 733,076,545
-1 -733,076,545

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 733,076,545.

Example:
1 x 733,076,545 = 733,076,545
and
-1 x -733,076,545 = 733,076,545
Notice both answers equal 733,076,545

With that explanation out of the way, let's continue. Next, we take the number 733,076,545 and divide it by 2:

733,076,545 ÷ 2 = 366,538,272.5

If the quotient is a whole number, then 2 and 366,538,272.5 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:

1 733,076,545
-1 -733,076,545

Now, we try dividing 733,076,545 by 3:

733,076,545 ÷ 3 = 244,358,848.3333

If the quotient is a whole number, then 3 and 244,358,848.3333 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:

1 733,076,545
-1 -733,076,545

Let's try dividing by 4:

733,076,545 ÷ 4 = 183,269,136.25

If the quotient is a whole number, then 4 and 183,269,136.25 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:

1 733,076,545
-1 733,076,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15146,615,309733,076,545
-1-5-146,615,309-733,076,545

More Examples

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