Q: What are the factor combinations of the number 426,300,437?

 A:
Positive:   1 x 42630043731 x 137516273023 x 1410194549 x 93713
Negative: -1 x -426300437-31 x -13751627-3023 x -141019-4549 x -93713


How do I find the factor combinations of the number 426,300,437?

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 426,300,437, 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.

1 426,300,437
-1 -426,300,437

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 426,300,437.

Example:
1 x 426,300,437 = 426,300,437
and
-1 x -426,300,437 = 426,300,437
Notice both answers equal 426,300,437

With that explanation out of the way, let's continue. Next, we take the number 426,300,437 and divide it by 2:

426,300,437 ÷ 2 = 213,150,218.5

If the quotient is a whole number, then 2 and 213,150,218.5 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:

1 426,300,437
-1 -426,300,437

Now, we try dividing 426,300,437 by 3:

426,300,437 ÷ 3 = 142,100,145.6667

If the quotient is a whole number, then 3 and 142,100,145.6667 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:

1 426,300,437
-1 -426,300,437

Let's try dividing by 4:

426,300,437 ÷ 4 = 106,575,109.25

If the quotient is a whole number, then 4 and 106,575,109.25 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:

1 426,300,437
-1 426,300,437
Keep dividing by the next highest number until you cannot divide anymore.

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

1313,0234,54993,713141,01913,751,627426,300,437
-1-31-3,023-4,549-93,713-141,019-13,751,627-426,300,437

More Examples

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