Q: What are the factor combinations of the number 426,432,307?

 A:
Positive:   1 x 4264323077 x 60918901109 x 3912223197 x 2164631763 x 5588891379 x 3092332837 x 15031119859 x 21473
Negative: -1 x -426432307-7 x -60918901-109 x -3912223-197 x -2164631-763 x -558889-1379 x -309233-2837 x -150311-19859 x -21473


How do I find the factor combinations of the number 426,432,307?

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 426,432,307, 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.

1 426,432,307
-1 -426,432,307

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 426,432,307.

Example:
1 x 426,432,307 = 426,432,307
and
-1 x -426,432,307 = 426,432,307
Notice both answers equal 426,432,307

With that explanation out of the way, let's continue. Next, we take the number 426,432,307 and divide it by 2:

426,432,307 ÷ 2 = 213,216,153.5

If the quotient is a whole number, then 2 and 213,216,153.5 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:

1 426,432,307
-1 -426,432,307

Now, we try dividing 426,432,307 by 3:

426,432,307 ÷ 3 = 142,144,102.3333

If the quotient is a whole number, then 3 and 142,144,102.3333 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:

1 426,432,307
-1 -426,432,307

Let's try dividing by 4:

426,432,307 ÷ 4 = 106,608,076.75

If the quotient is a whole number, then 4 and 106,608,076.75 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:

1 426,432,307
-1 426,432,307
Keep dividing by the next highest number until you cannot divide anymore.

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

171091977631,3792,83719,85921,473150,311309,233558,8892,164,6313,912,22360,918,901426,432,307
-1-7-109-197-763-1,379-2,837-19,859-21,473-150,311-309,233-558,889-2,164,631-3,912,223-60,918,901-426,432,307

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