Q: What are the factor combinations of the number 264,318,565?

 A:
Positive:   1 x 2643185655 x 528637137 x 3775979535 x 755195937 x 7143745185 x 1428749259 x 10205351295 x 204107
Negative: -1 x -264318565-5 x -52863713-7 x -37759795-35 x -7551959-37 x -7143745-185 x -1428749-259 x -1020535-1295 x -204107


How do I find the factor combinations of the number 264,318,565?

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 264,318,565, 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.

1 264,318,565
-1 -264,318,565

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 264,318,565.

Example:
1 x 264,318,565 = 264,318,565
and
-1 x -264,318,565 = 264,318,565
Notice both answers equal 264,318,565

With that explanation out of the way, let's continue. Next, we take the number 264,318,565 and divide it by 2:

264,318,565 ÷ 2 = 132,159,282.5

If the quotient is a whole number, then 2 and 132,159,282.5 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:

1 264,318,565
-1 -264,318,565

Now, we try dividing 264,318,565 by 3:

264,318,565 ÷ 3 = 88,106,188.3333

If the quotient is a whole number, then 3 and 88,106,188.3333 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:

1 264,318,565
-1 -264,318,565

Let's try dividing by 4:

264,318,565 ÷ 4 = 66,079,641.25

If the quotient is a whole number, then 4 and 66,079,641.25 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:

1 264,318,565
-1 264,318,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852591,295204,1071,020,5351,428,7497,143,7457,551,95937,759,79552,863,713264,318,565
-1-5-7-35-37-185-259-1,295-204,107-1,020,535-1,428,749-7,143,745-7,551,959-37,759,795-52,863,713-264,318,565

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