Q: What are the factor combinations of the number 469,795?

 A:
Positive:   1 x 4697955 x 9395917 x 2763585 x 5527
Negative: -1 x -469795-5 x -93959-17 x -27635-85 x -5527


How do I find the factor combinations of the number 469,795?

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 469,795, 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.

1 469,795
-1 -469,795

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 469,795.

Example:
1 x 469,795 = 469,795
and
-1 x -469,795 = 469,795
Notice both answers equal 469,795

With that explanation out of the way, let's continue. Next, we take the number 469,795 and divide it by 2:

469,795 ÷ 2 = 234,897.5

If the quotient is a whole number, then 2 and 234,897.5 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:

1 469,795
-1 -469,795

Now, we try dividing 469,795 by 3:

469,795 ÷ 3 = 156,598.3333

If the quotient is a whole number, then 3 and 156,598.3333 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:

1 469,795
-1 -469,795

Let's try dividing by 4:

469,795 ÷ 4 = 117,448.75

If the quotient is a whole number, then 4 and 117,448.75 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:

1 469,795
-1 469,795
Keep dividing by the next highest number until you cannot divide anymore.

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

1517855,52727,63593,959469,795
-1-5-17-85-5,527-27,635-93,959-469,795

More Examples

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