Q: What are the factor combinations of the number 487,123?

 A:
Positive:   1 x 4871237 x 6958913 x 3747153 x 919191 x 5353101 x 4823371 x 1313689 x 707
Negative: -1 x -487123-7 x -69589-13 x -37471-53 x -9191-91 x -5353-101 x -4823-371 x -1313-689 x -707


How do I find the factor combinations of the number 487,123?

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 487,123, 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.

1 487,123
-1 -487,123

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 487,123.

Example:
1 x 487,123 = 487,123
and
-1 x -487,123 = 487,123
Notice both answers equal 487,123

With that explanation out of the way, let's continue. Next, we take the number 487,123 and divide it by 2:

487,123 ÷ 2 = 243,561.5

If the quotient is a whole number, then 2 and 243,561.5 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:

1 487,123
-1 -487,123

Now, we try dividing 487,123 by 3:

487,123 ÷ 3 = 162,374.3333

If the quotient is a whole number, then 3 and 162,374.3333 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:

1 487,123
-1 -487,123

Let's try dividing by 4:

487,123 ÷ 4 = 121,780.75

If the quotient is a whole number, then 4 and 121,780.75 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:

1 487,123
-1 487,123
Keep dividing by the next highest number until you cannot divide anymore.

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

171353911013716897071,3134,8235,3539,19137,47169,589487,123
-1-7-13-53-91-101-371-689-707-1,313-4,823-5,353-9,191-37,471-69,589-487,123

More Examples

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