Q: What are the factor combinations of the number 486,860,123?

 A:
Positive:   1 x 48686012319 x 2562421767 x 7266569361 x 13486431273 x 38245120129 x 24187
Negative: -1 x -486860123-19 x -25624217-67 x -7266569-361 x -1348643-1273 x -382451-20129 x -24187


How do I find the factor combinations of the number 486,860,123?

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 486,860,123, 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.

1 486,860,123
-1 -486,860,123

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 486,860,123.

Example:
1 x 486,860,123 = 486,860,123
and
-1 x -486,860,123 = 486,860,123
Notice both answers equal 486,860,123

With that explanation out of the way, let's continue. Next, we take the number 486,860,123 and divide it by 2:

486,860,123 ÷ 2 = 243,430,061.5

If the quotient is a whole number, then 2 and 243,430,061.5 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:

1 486,860,123
-1 -486,860,123

Now, we try dividing 486,860,123 by 3:

486,860,123 ÷ 3 = 162,286,707.6667

If the quotient is a whole number, then 3 and 162,286,707.6667 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:

1 486,860,123
-1 -486,860,123

Let's try dividing by 4:

486,860,123 ÷ 4 = 121,715,030.75

If the quotient is a whole number, then 4 and 121,715,030.75 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:

1 486,860,123
-1 486,860,123
Keep dividing by the next highest number until you cannot divide anymore.

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

119673611,27320,12924,187382,4511,348,6437,266,56925,624,217486,860,123
-1-19-67-361-1,273-20,129-24,187-382,451-1,348,643-7,266,569-25,624,217-486,860,123

More Examples

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