Q: What are the factor combinations of the number 764,376,565?

 A:
Positive:   1 x 7643765655 x 15287531359 x 12955535295 x 2591107443 x 17254552215 x 3450915849 x 13068526137 x 29245
Negative: -1 x -764376565-5 x -152875313-59 x -12955535-295 x -2591107-443 x -1725455-2215 x -345091-5849 x -130685-26137 x -29245


How do I find the factor combinations of the number 764,376,565?

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 764,376,565, 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.

1 764,376,565
-1 -764,376,565

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 764,376,565.

Example:
1 x 764,376,565 = 764,376,565
and
-1 x -764,376,565 = 764,376,565
Notice both answers equal 764,376,565

With that explanation out of the way, let's continue. Next, we take the number 764,376,565 and divide it by 2:

764,376,565 ÷ 2 = 382,188,282.5

If the quotient is a whole number, then 2 and 382,188,282.5 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:

1 764,376,565
-1 -764,376,565

Now, we try dividing 764,376,565 by 3:

764,376,565 ÷ 3 = 254,792,188.3333

If the quotient is a whole number, then 3 and 254,792,188.3333 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:

1 764,376,565
-1 -764,376,565

Let's try dividing by 4:

764,376,565 ÷ 4 = 191,094,141.25

If the quotient is a whole number, then 4 and 191,094,141.25 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:

1 764,376,565
-1 764,376,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15592954432,2155,84926,13729,245130,685345,0911,725,4552,591,10712,955,535152,875,313764,376,565
-1-5-59-295-443-2,215-5,849-26,137-29,245-130,685-345,091-1,725,455-2,591,107-12,955,535-152,875,313-764,376,565

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