Q: What are the factor combinations of the number 733,771,253?

 A:
Positive:   1 x 73377125329 x 2530245773 x 10051661271 x 27076431279 x 5737072117 x 3466097859 x 9336719783 x 37091
Negative: -1 x -733771253-29 x -25302457-73 x -10051661-271 x -2707643-1279 x -573707-2117 x -346609-7859 x -93367-19783 x -37091


How do I find the factor combinations of the number 733,771,253?

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 733,771,253, 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.

1 733,771,253
-1 -733,771,253

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 733,771,253.

Example:
1 x 733,771,253 = 733,771,253
and
-1 x -733,771,253 = 733,771,253
Notice both answers equal 733,771,253

With that explanation out of the way, let's continue. Next, we take the number 733,771,253 and divide it by 2:

733,771,253 ÷ 2 = 366,885,626.5

If the quotient is a whole number, then 2 and 366,885,626.5 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:

1 733,771,253
-1 -733,771,253

Now, we try dividing 733,771,253 by 3:

733,771,253 ÷ 3 = 244,590,417.6667

If the quotient is a whole number, then 3 and 244,590,417.6667 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:

1 733,771,253
-1 -733,771,253

Let's try dividing by 4:

733,771,253 ÷ 4 = 183,442,813.25

If the quotient is a whole number, then 4 and 183,442,813.25 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:

1 733,771,253
-1 733,771,253
Keep dividing by the next highest number until you cannot divide anymore.

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

129732711,2792,1177,85919,78337,09193,367346,609573,7072,707,64310,051,66125,302,457733,771,253
-1-29-73-271-1,279-2,117-7,859-19,783-37,091-93,367-346,609-573,707-2,707,643-10,051,661-25,302,457-733,771,253

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