Q: What are the factor combinations of the number 571,499?

 A:
Positive:   1 x 57149941 x 1393953 x 10783263 x 2173
Negative: -1 x -571499-41 x -13939-53 x -10783-263 x -2173


How do I find the factor combinations of the number 571,499?

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 571,499, 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.

1 571,499
-1 -571,499

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 571,499.

Example:
1 x 571,499 = 571,499
and
-1 x -571,499 = 571,499
Notice both answers equal 571,499

With that explanation out of the way, let's continue. Next, we take the number 571,499 and divide it by 2:

571,499 ÷ 2 = 285,749.5

If the quotient is a whole number, then 2 and 285,749.5 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:

1 571,499
-1 -571,499

Now, we try dividing 571,499 by 3:

571,499 ÷ 3 = 190,499.6667

If the quotient is a whole number, then 3 and 190,499.6667 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:

1 571,499
-1 -571,499

Let's try dividing by 4:

571,499 ÷ 4 = 142,874.75

If the quotient is a whole number, then 4 and 142,874.75 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:

1 571,499
-1 571,499
Keep dividing by the next highest number until you cannot divide anymore.

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

141532632,17310,78313,939571,499
-1-41-53-263-2,173-10,783-13,939-571,499

More Examples

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