Q: What are the factor combinations of the number 324,473,759?

 A:
Positive:   1 x 32447375947 x 69036971237 x 2623075581 x 58139
Negative: -1 x -324473759-47 x -6903697-1237 x -262307-5581 x -58139


How do I find the factor combinations of the number 324,473,759?

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 324,473,759, 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.

1 324,473,759
-1 -324,473,759

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 324,473,759.

Example:
1 x 324,473,759 = 324,473,759
and
-1 x -324,473,759 = 324,473,759
Notice both answers equal 324,473,759

With that explanation out of the way, let's continue. Next, we take the number 324,473,759 and divide it by 2:

324,473,759 ÷ 2 = 162,236,879.5

If the quotient is a whole number, then 2 and 162,236,879.5 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:

1 324,473,759
-1 -324,473,759

Now, we try dividing 324,473,759 by 3:

324,473,759 ÷ 3 = 108,157,919.6667

If the quotient is a whole number, then 3 and 108,157,919.6667 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:

1 324,473,759
-1 -324,473,759

Let's try dividing by 4:

324,473,759 ÷ 4 = 81,118,439.75

If the quotient is a whole number, then 4 and 81,118,439.75 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:

1 324,473,759
-1 324,473,759
Keep dividing by the next highest number until you cannot divide anymore.

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

1471,2375,58158,139262,3076,903,697324,473,759
-1-47-1,237-5,581-58,139-262,307-6,903,697-324,473,759

More Examples

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