Q: What are the factor combinations of the number 479,071?

 A:
Positive:   1 x 47907147 x 10193
Negative: -1 x -479071-47 x -10193


How do I find the factor combinations of the number 479,071?

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 479,071, 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.

1 479,071
-1 -479,071

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 479,071.

Example:
1 x 479,071 = 479,071
and
-1 x -479,071 = 479,071
Notice both answers equal 479,071

With that explanation out of the way, let's continue. Next, we take the number 479,071 and divide it by 2:

479,071 ÷ 2 = 239,535.5

If the quotient is a whole number, then 2 and 239,535.5 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:

1 479,071
-1 -479,071

Now, we try dividing 479,071 by 3:

479,071 ÷ 3 = 159,690.3333

If the quotient is a whole number, then 3 and 159,690.3333 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:

1 479,071
-1 -479,071

Let's try dividing by 4:

479,071 ÷ 4 = 119,767.75

If the quotient is a whole number, then 4 and 119,767.75 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:

1 479,071
-1 479,071
Keep dividing by the next highest number until you cannot divide anymore.

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

14710,193479,071
-1-47-10,193-479,071

More Examples

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