Q: What are the factor combinations of the number 773,360,533?

 A:
Positive:   1 x 77336053311 x 7030550323 x 3362437197 x 7972789253 x 30567611067 x 7247992231 x 34664324541 x 31513
Negative: -1 x -773360533-11 x -70305503-23 x -33624371-97 x -7972789-253 x -3056761-1067 x -724799-2231 x -346643-24541 x -31513


How do I find the factor combinations of the number 773,360,533?

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 773,360,533, 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.

1 773,360,533
-1 -773,360,533

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 773,360,533.

Example:
1 x 773,360,533 = 773,360,533
and
-1 x -773,360,533 = 773,360,533
Notice both answers equal 773,360,533

With that explanation out of the way, let's continue. Next, we take the number 773,360,533 and divide it by 2:

773,360,533 ÷ 2 = 386,680,266.5

If the quotient is a whole number, then 2 and 386,680,266.5 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:

1 773,360,533
-1 -773,360,533

Now, we try dividing 773,360,533 by 3:

773,360,533 ÷ 3 = 257,786,844.3333

If the quotient is a whole number, then 3 and 257,786,844.3333 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:

1 773,360,533
-1 -773,360,533

Let's try dividing by 4:

773,360,533 ÷ 4 = 193,340,133.25

If the quotient is a whole number, then 4 and 193,340,133.25 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:

1 773,360,533
-1 773,360,533
Keep dividing by the next highest number until you cannot divide anymore.

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

11123972531,0672,23124,54131,513346,643724,7993,056,7617,972,78933,624,37170,305,503773,360,533
-1-11-23-97-253-1,067-2,231-24,541-31,513-346,643-724,799-3,056,761-7,972,789-33,624,371-70,305,503-773,360,533

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