Q: What are the factor combinations of the number 787,046,381?

 A:
Positive:   1 x 78704638111 x 71549671103 x 7641227109 x 72206091133 x 6946571199 x 6564196373 x 12349711227 x 70103
Negative: -1 x -787046381-11 x -71549671-103 x -7641227-109 x -7220609-1133 x -694657-1199 x -656419-6373 x -123497-11227 x -70103


How do I find the factor combinations of the number 787,046,381?

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 787,046,381, 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.

1 787,046,381
-1 -787,046,381

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 787,046,381.

Example:
1 x 787,046,381 = 787,046,381
and
-1 x -787,046,381 = 787,046,381
Notice both answers equal 787,046,381

With that explanation out of the way, let's continue. Next, we take the number 787,046,381 and divide it by 2:

787,046,381 ÷ 2 = 393,523,190.5

If the quotient is a whole number, then 2 and 393,523,190.5 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:

1 787,046,381
-1 -787,046,381

Now, we try dividing 787,046,381 by 3:

787,046,381 ÷ 3 = 262,348,793.6667

If the quotient is a whole number, then 3 and 262,348,793.6667 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:

1 787,046,381
-1 -787,046,381

Let's try dividing by 4:

787,046,381 ÷ 4 = 196,761,595.25

If the quotient is a whole number, then 4 and 196,761,595.25 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:

1 787,046,381
-1 787,046,381
Keep dividing by the next highest number until you cannot divide anymore.

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

1111031091,1331,1996,37311,22770,103123,497656,419694,6577,220,6097,641,22771,549,671787,046,381
-1-11-103-109-1,133-1,199-6,373-11,227-70,103-123,497-656,419-694,657-7,220,609-7,641,227-71,549,671-787,046,381

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