Q: What are the factor combinations of the number 767,543,323?

 A:
Positive:   1 x 76754332319 x 4039701747 x 16330709197 x 3896159893 x 8595113743 x 2050614363 x 1759219259 x 82897
Negative: -1 x -767543323-19 x -40397017-47 x -16330709-197 x -3896159-893 x -859511-3743 x -205061-4363 x -175921-9259 x -82897


How do I find the factor combinations of the number 767,543,323?

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 767,543,323, 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.

1 767,543,323
-1 -767,543,323

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 767,543,323.

Example:
1 x 767,543,323 = 767,543,323
and
-1 x -767,543,323 = 767,543,323
Notice both answers equal 767,543,323

With that explanation out of the way, let's continue. Next, we take the number 767,543,323 and divide it by 2:

767,543,323 ÷ 2 = 383,771,661.5

If the quotient is a whole number, then 2 and 383,771,661.5 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:

1 767,543,323
-1 -767,543,323

Now, we try dividing 767,543,323 by 3:

767,543,323 ÷ 3 = 255,847,774.3333

If the quotient is a whole number, then 3 and 255,847,774.3333 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:

1 767,543,323
-1 -767,543,323

Let's try dividing by 4:

767,543,323 ÷ 4 = 191,885,830.75

If the quotient is a whole number, then 4 and 191,885,830.75 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:

1 767,543,323
-1 767,543,323
Keep dividing by the next highest number until you cannot divide anymore.

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

119471978933,7434,3639,25982,897175,921205,061859,5113,896,15916,330,70940,397,017767,543,323
-1-19-47-197-893-3,743-4,363-9,259-82,897-175,921-205,061-859,511-3,896,159-16,330,709-40,397,017-767,543,323

More Examples

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