Q: What are the factor combinations of the number 264,631,315?

 A:
Positive:   1 x 2646313155 x 5292626313 x 2035625565 x 4071251163 x 1623505815 x 3247012119 x 12488510595 x 24977
Negative: -1 x -264631315-5 x -52926263-13 x -20356255-65 x -4071251-163 x -1623505-815 x -324701-2119 x -124885-10595 x -24977


How do I find the factor combinations of the number 264,631,315?

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 264,631,315, 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.

1 264,631,315
-1 -264,631,315

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 264,631,315.

Example:
1 x 264,631,315 = 264,631,315
and
-1 x -264,631,315 = 264,631,315
Notice both answers equal 264,631,315

With that explanation out of the way, let's continue. Next, we take the number 264,631,315 and divide it by 2:

264,631,315 ÷ 2 = 132,315,657.5

If the quotient is a whole number, then 2 and 132,315,657.5 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:

1 264,631,315
-1 -264,631,315

Now, we try dividing 264,631,315 by 3:

264,631,315 ÷ 3 = 88,210,438.3333

If the quotient is a whole number, then 3 and 88,210,438.3333 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:

1 264,631,315
-1 -264,631,315

Let's try dividing by 4:

264,631,315 ÷ 4 = 66,157,828.75

If the quotient is a whole number, then 4 and 66,157,828.75 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:

1 264,631,315
-1 264,631,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651638152,11910,59524,977124,885324,7011,623,5054,071,25120,356,25552,926,263264,631,315
-1-5-13-65-163-815-2,119-10,595-24,977-124,885-324,701-1,623,505-4,071,251-20,356,255-52,926,263-264,631,315

More Examples

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