Q: What are the factor combinations of the number 481,121,281?

 A:
Positive:   1 x 48112128129 x 1659038943 x 1118886747 x 102366231247 x 3858231363 x 3529872021 x 2380618209 x 58609
Negative: -1 x -481121281-29 x -16590389-43 x -11188867-47 x -10236623-1247 x -385823-1363 x -352987-2021 x -238061-8209 x -58609


How do I find the factor combinations of the number 481,121,281?

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 481,121,281, 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.

1 481,121,281
-1 -481,121,281

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 481,121,281.

Example:
1 x 481,121,281 = 481,121,281
and
-1 x -481,121,281 = 481,121,281
Notice both answers equal 481,121,281

With that explanation out of the way, let's continue. Next, we take the number 481,121,281 and divide it by 2:

481,121,281 ÷ 2 = 240,560,640.5

If the quotient is a whole number, then 2 and 240,560,640.5 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:

1 481,121,281
-1 -481,121,281

Now, we try dividing 481,121,281 by 3:

481,121,281 ÷ 3 = 160,373,760.3333

If the quotient is a whole number, then 3 and 160,373,760.3333 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:

1 481,121,281
-1 -481,121,281

Let's try dividing by 4:

481,121,281 ÷ 4 = 120,280,320.25

If the quotient is a whole number, then 4 and 120,280,320.25 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:

1 481,121,281
-1 481,121,281
Keep dividing by the next highest number until you cannot divide anymore.

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

12943471,2471,3632,0218,20958,609238,061352,987385,82310,236,62311,188,86716,590,389481,121,281
-1-29-43-47-1,247-1,363-2,021-8,209-58,609-238,061-352,987-385,823-10,236,623-11,188,867-16,590,389-481,121,281

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