Q: What are the factor combinations of the number 773,670,029?

 A:
Positive:   1 x 77367002911 x 70333639193 x 40086532123 x 364423
Negative: -1 x -773670029-11 x -70333639-193 x -4008653-2123 x -364423


How do I find the factor combinations of the number 773,670,029?

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 773,670,029, 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.

1 773,670,029
-1 -773,670,029

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 773,670,029.

Example:
1 x 773,670,029 = 773,670,029
and
-1 x -773,670,029 = 773,670,029
Notice both answers equal 773,670,029

With that explanation out of the way, let's continue. Next, we take the number 773,670,029 and divide it by 2:

773,670,029 ÷ 2 = 386,835,014.5

If the quotient is a whole number, then 2 and 386,835,014.5 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:

1 773,670,029
-1 -773,670,029

Now, we try dividing 773,670,029 by 3:

773,670,029 ÷ 3 = 257,890,009.6667

If the quotient is a whole number, then 3 and 257,890,009.6667 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:

1 773,670,029
-1 -773,670,029

Let's try dividing by 4:

773,670,029 ÷ 4 = 193,417,507.25

If the quotient is a whole number, then 4 and 193,417,507.25 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:

1 773,670,029
-1 773,670,029
Keep dividing by the next highest number until you cannot divide anymore.

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

1111932,123364,4234,008,65370,333,639773,670,029
-1-11-193-2,123-364,423-4,008,653-70,333,639-773,670,029

More Examples

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