Q: What are the factor combinations of the number 480,281,735?

 A:
Positive:   1 x 4802817355 x 96056347173 x 2776195233 x 2061295865 x 5552391165 x 4122592383 x 20154511915 x 40309
Negative: -1 x -480281735-5 x -96056347-173 x -2776195-233 x -2061295-865 x -555239-1165 x -412259-2383 x -201545-11915 x -40309


How do I find the factor combinations of the number 480,281,735?

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 480,281,735, 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.

1 480,281,735
-1 -480,281,735

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 480,281,735.

Example:
1 x 480,281,735 = 480,281,735
and
-1 x -480,281,735 = 480,281,735
Notice both answers equal 480,281,735

With that explanation out of the way, let's continue. Next, we take the number 480,281,735 and divide it by 2:

480,281,735 ÷ 2 = 240,140,867.5

If the quotient is a whole number, then 2 and 240,140,867.5 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:

1 480,281,735
-1 -480,281,735

Now, we try dividing 480,281,735 by 3:

480,281,735 ÷ 3 = 160,093,911.6667

If the quotient is a whole number, then 3 and 160,093,911.6667 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:

1 480,281,735
-1 -480,281,735

Let's try dividing by 4:

480,281,735 ÷ 4 = 120,070,433.75

If the quotient is a whole number, then 4 and 120,070,433.75 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:

1 480,281,735
-1 480,281,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151732338651,1652,38311,91540,309201,545412,259555,2392,061,2952,776,19596,056,347480,281,735
-1-5-173-233-865-1,165-2,383-11,915-40,309-201,545-412,259-555,239-2,061,295-2,776,195-96,056,347-480,281,735

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