Q: What are the factor combinations of the number 481,246,259?

 A:
Positive:   1 x 48124625913 x 37018943169 x 2847611317 x 1518127691 x 6964492197 x 2190474121 x 1167798983 x 53573
Negative: -1 x -481246259-13 x -37018943-169 x -2847611-317 x -1518127-691 x -696449-2197 x -219047-4121 x -116779-8983 x -53573


How do I find the factor combinations of the number 481,246,259?

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 481,246,259, 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.

1 481,246,259
-1 -481,246,259

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 481,246,259.

Example:
1 x 481,246,259 = 481,246,259
and
-1 x -481,246,259 = 481,246,259
Notice both answers equal 481,246,259

With that explanation out of the way, let's continue. Next, we take the number 481,246,259 and divide it by 2:

481,246,259 ÷ 2 = 240,623,129.5

If the quotient is a whole number, then 2 and 240,623,129.5 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:

1 481,246,259
-1 -481,246,259

Now, we try dividing 481,246,259 by 3:

481,246,259 ÷ 3 = 160,415,419.6667

If the quotient is a whole number, then 3 and 160,415,419.6667 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:

1 481,246,259
-1 -481,246,259

Let's try dividing by 4:

481,246,259 ÷ 4 = 120,311,564.75

If the quotient is a whole number, then 4 and 120,311,564.75 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:

1 481,246,259
-1 481,246,259
Keep dividing by the next highest number until you cannot divide anymore.

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

1131693176912,1974,1218,98353,573116,779219,047696,4491,518,1272,847,61137,018,943481,246,259
-1-13-169-317-691-2,197-4,121-8,983-53,573-116,779-219,047-696,449-1,518,127-2,847,611-37,018,943-481,246,259

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