Q: What are the factor combinations of the number 526,313,429?

 A:
Positive:   1 x 52631342961 x 862808973 x 7209773181 x 2907809653 x 8059934453 x 11819311041 x 4766913213 x 39833
Negative: -1 x -526313429-61 x -8628089-73 x -7209773-181 x -2907809-653 x -805993-4453 x -118193-11041 x -47669-13213 x -39833


How do I find the factor combinations of the number 526,313,429?

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 526,313,429, 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.

1 526,313,429
-1 -526,313,429

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 526,313,429.

Example:
1 x 526,313,429 = 526,313,429
and
-1 x -526,313,429 = 526,313,429
Notice both answers equal 526,313,429

With that explanation out of the way, let's continue. Next, we take the number 526,313,429 and divide it by 2:

526,313,429 ÷ 2 = 263,156,714.5

If the quotient is a whole number, then 2 and 263,156,714.5 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:

1 526,313,429
-1 -526,313,429

Now, we try dividing 526,313,429 by 3:

526,313,429 ÷ 3 = 175,437,809.6667

If the quotient is a whole number, then 3 and 175,437,809.6667 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:

1 526,313,429
-1 -526,313,429

Let's try dividing by 4:

526,313,429 ÷ 4 = 131,578,357.25

If the quotient is a whole number, then 4 and 131,578,357.25 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:

1 526,313,429
-1 526,313,429
Keep dividing by the next highest number until you cannot divide anymore.

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

161731816534,45311,04113,21339,83347,669118,193805,9932,907,8097,209,7738,628,089526,313,429
-1-61-73-181-653-4,453-11,041-13,213-39,833-47,669-118,193-805,993-2,907,809-7,209,773-8,628,089-526,313,429

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