Q: What are the factor combinations of the number 320,562,473?

 A:
Positive:   1 x 3205624737 x 4579463911 x 2914204377 x 4163149
Negative: -1 x -320562473-7 x -45794639-11 x -29142043-77 x -4163149


How do I find the factor combinations of the number 320,562,473?

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 320,562,473, 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.

1 320,562,473
-1 -320,562,473

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 320,562,473.

Example:
1 x 320,562,473 = 320,562,473
and
-1 x -320,562,473 = 320,562,473
Notice both answers equal 320,562,473

With that explanation out of the way, let's continue. Next, we take the number 320,562,473 and divide it by 2:

320,562,473 ÷ 2 = 160,281,236.5

If the quotient is a whole number, then 2 and 160,281,236.5 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:

1 320,562,473
-1 -320,562,473

Now, we try dividing 320,562,473 by 3:

320,562,473 ÷ 3 = 106,854,157.6667

If the quotient is a whole number, then 3 and 106,854,157.6667 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:

1 320,562,473
-1 -320,562,473

Let's try dividing by 4:

320,562,473 ÷ 4 = 80,140,618.25

If the quotient is a whole number, then 4 and 80,140,618.25 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:

1 320,562,473
-1 320,562,473
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774,163,14929,142,04345,794,639320,562,473
-1-7-11-77-4,163,149-29,142,043-45,794,639-320,562,473

More Examples

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