Q: What are the factor combinations of the number 762,632,267?

 A:
Positive:   1 x 76263226741 x 1860078779 x 9653573173 x 44082791361 x 5603473239 x 2354537093 x 10751913667 x 55801
Negative: -1 x -762632267-41 x -18600787-79 x -9653573-173 x -4408279-1361 x -560347-3239 x -235453-7093 x -107519-13667 x -55801


How do I find the factor combinations of the number 762,632,267?

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 762,632,267, 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.

1 762,632,267
-1 -762,632,267

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 762,632,267.

Example:
1 x 762,632,267 = 762,632,267
and
-1 x -762,632,267 = 762,632,267
Notice both answers equal 762,632,267

With that explanation out of the way, let's continue. Next, we take the number 762,632,267 and divide it by 2:

762,632,267 ÷ 2 = 381,316,133.5

If the quotient is a whole number, then 2 and 381,316,133.5 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:

1 762,632,267
-1 -762,632,267

Now, we try dividing 762,632,267 by 3:

762,632,267 ÷ 3 = 254,210,755.6667

If the quotient is a whole number, then 3 and 254,210,755.6667 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:

1 762,632,267
-1 -762,632,267

Let's try dividing by 4:

762,632,267 ÷ 4 = 190,658,066.75

If the quotient is a whole number, then 4 and 190,658,066.75 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:

1 762,632,267
-1 762,632,267
Keep dividing by the next highest number until you cannot divide anymore.

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

141791731,3613,2397,09313,66755,801107,519235,453560,3474,408,2799,653,57318,600,787762,632,267
-1-41-79-173-1,361-3,239-7,093-13,667-55,801-107,519-235,453-560,347-4,408,279-9,653,573-18,600,787-762,632,267

More Examples

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