Q: What are the factor combinations of the number 481,246,265?

 A:
Positive:   1 x 4812462655 x 96249253223 x 21580551115 x 431611
Negative: -1 x -481246265-5 x -96249253-223 x -2158055-1115 x -431611


How do I find the factor combinations of the number 481,246,265?

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 481,246,265, 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.

1 481,246,265
-1 -481,246,265

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 481,246,265.

Example:
1 x 481,246,265 = 481,246,265
and
-1 x -481,246,265 = 481,246,265
Notice both answers equal 481,246,265

With that explanation out of the way, let's continue. Next, we take the number 481,246,265 and divide it by 2:

481,246,265 ÷ 2 = 240,623,132.5

If the quotient is a whole number, then 2 and 240,623,132.5 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:

1 481,246,265
-1 -481,246,265

Now, we try dividing 481,246,265 by 3:

481,246,265 ÷ 3 = 160,415,421.6667

If the quotient is a whole number, then 3 and 160,415,421.6667 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:

1 481,246,265
-1 -481,246,265

Let's try dividing by 4:

481,246,265 ÷ 4 = 120,311,566.25

If the quotient is a whole number, then 4 and 120,311,566.25 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:

1 481,246,265
-1 481,246,265
Keep dividing by the next highest number until you cannot divide anymore.

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

152231,115431,6112,158,05596,249,253481,246,265
-1-5-223-1,115-431,611-2,158,055-96,249,253-481,246,265

More Examples

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