Q: What are the factor combinations of the number 485,528,437?

 A:
Positive:   1 x 48552843741 x 1184215743 x 112913591763 x 275399
Negative: -1 x -485528437-41 x -11842157-43 x -11291359-1763 x -275399


How do I find the factor combinations of the number 485,528,437?

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 485,528,437, 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.

1 485,528,437
-1 -485,528,437

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 485,528,437.

Example:
1 x 485,528,437 = 485,528,437
and
-1 x -485,528,437 = 485,528,437
Notice both answers equal 485,528,437

With that explanation out of the way, let's continue. Next, we take the number 485,528,437 and divide it by 2:

485,528,437 ÷ 2 = 242,764,218.5

If the quotient is a whole number, then 2 and 242,764,218.5 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:

1 485,528,437
-1 -485,528,437

Now, we try dividing 485,528,437 by 3:

485,528,437 ÷ 3 = 161,842,812.3333

If the quotient is a whole number, then 3 and 161,842,812.3333 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:

1 485,528,437
-1 -485,528,437

Let's try dividing by 4:

485,528,437 ÷ 4 = 121,382,109.25

If the quotient is a whole number, then 4 and 121,382,109.25 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:

1 485,528,437
-1 485,528,437
Keep dividing by the next highest number until you cannot divide anymore.

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

141431,763275,39911,291,35911,842,157485,528,437
-1-41-43-1,763-275,399-11,291,359-11,842,157-485,528,437

More Examples

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