Q: What are the factor combinations of the number 481,505?

 A:
Positive:   1 x 4815055 x 9630123 x 2093553 x 908579 x 6095115 x 4187265 x 1817395 x 1219
Negative: -1 x -481505-5 x -96301-23 x -20935-53 x -9085-79 x -6095-115 x -4187-265 x -1817-395 x -1219


How do I find the factor combinations of the number 481,505?

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 481,505, 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.

1 481,505
-1 -481,505

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 481,505.

Example:
1 x 481,505 = 481,505
and
-1 x -481,505 = 481,505
Notice both answers equal 481,505

With that explanation out of the way, let's continue. Next, we take the number 481,505 and divide it by 2:

481,505 ÷ 2 = 240,752.5

If the quotient is a whole number, then 2 and 240,752.5 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:

1 481,505
-1 -481,505

Now, we try dividing 481,505 by 3:

481,505 ÷ 3 = 160,501.6667

If the quotient is a whole number, then 3 and 160,501.6667 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:

1 481,505
-1 -481,505

Let's try dividing by 4:

481,505 ÷ 4 = 120,376.25

If the quotient is a whole number, then 4 and 120,376.25 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:

1 481,505
-1 481,505
Keep dividing by the next highest number until you cannot divide anymore.

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

152353791152653951,2191,8174,1876,0959,08520,93596,301481,505
-1-5-23-53-79-115-265-395-1,219-1,817-4,187-6,095-9,085-20,935-96,301-481,505

More Examples

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