Q: What are the factor combinations of the number 767,503,337?

 A:
Positive:   1 x 76750333789 x 8623633223 x 344171919847 x 38671
Negative: -1 x -767503337-89 x -8623633-223 x -3441719-19847 x -38671


How do I find the factor combinations of the number 767,503,337?

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 767,503,337, 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.

1 767,503,337
-1 -767,503,337

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 767,503,337.

Example:
1 x 767,503,337 = 767,503,337
and
-1 x -767,503,337 = 767,503,337
Notice both answers equal 767,503,337

With that explanation out of the way, let's continue. Next, we take the number 767,503,337 and divide it by 2:

767,503,337 ÷ 2 = 383,751,668.5

If the quotient is a whole number, then 2 and 383,751,668.5 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:

1 767,503,337
-1 -767,503,337

Now, we try dividing 767,503,337 by 3:

767,503,337 ÷ 3 = 255,834,445.6667

If the quotient is a whole number, then 3 and 255,834,445.6667 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:

1 767,503,337
-1 -767,503,337

Let's try dividing by 4:

767,503,337 ÷ 4 = 191,875,834.25

If the quotient is a whole number, then 4 and 191,875,834.25 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:

1 767,503,337
-1 767,503,337
Keep dividing by the next highest number until you cannot divide anymore.

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

18922319,84738,6713,441,7198,623,633767,503,337
-1-89-223-19,847-38,671-3,441,719-8,623,633-767,503,337

More Examples

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