Q: What are the factor combinations of the number 764,440,207?

 A:
Positive:   1 x 76444020717 x 44967071107 x 71443011819 x 420253
Negative: -1 x -764440207-17 x -44967071-107 x -7144301-1819 x -420253


How do I find the factor combinations of the number 764,440,207?

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 764,440,207, 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.

1 764,440,207
-1 -764,440,207

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 764,440,207.

Example:
1 x 764,440,207 = 764,440,207
and
-1 x -764,440,207 = 764,440,207
Notice both answers equal 764,440,207

With that explanation out of the way, let's continue. Next, we take the number 764,440,207 and divide it by 2:

764,440,207 ÷ 2 = 382,220,103.5

If the quotient is a whole number, then 2 and 382,220,103.5 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:

1 764,440,207
-1 -764,440,207

Now, we try dividing 764,440,207 by 3:

764,440,207 ÷ 3 = 254,813,402.3333

If the quotient is a whole number, then 3 and 254,813,402.3333 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:

1 764,440,207
-1 -764,440,207

Let's try dividing by 4:

764,440,207 ÷ 4 = 191,110,051.75

If the quotient is a whole number, then 4 and 191,110,051.75 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:

1 764,440,207
-1 764,440,207
Keep dividing by the next highest number until you cannot divide anymore.

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

1171071,819420,2537,144,30144,967,071764,440,207
-1-17-107-1,819-420,253-7,144,301-44,967,071-764,440,207

More Examples

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