Q: What are the factor combinations of the number 481,830,473?

 A:
Positive:   1 x 48183047317 x 2834296923 x 2094915153 x 9091141391 x 1232303901 x 5347731219 x 39526720723 x 23251
Negative: -1 x -481830473-17 x -28342969-23 x -20949151-53 x -9091141-391 x -1232303-901 x -534773-1219 x -395267-20723 x -23251


How do I find the factor combinations of the number 481,830,473?

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 481,830,473, 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.

1 481,830,473
-1 -481,830,473

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 481,830,473.

Example:
1 x 481,830,473 = 481,830,473
and
-1 x -481,830,473 = 481,830,473
Notice both answers equal 481,830,473

With that explanation out of the way, let's continue. Next, we take the number 481,830,473 and divide it by 2:

481,830,473 ÷ 2 = 240,915,236.5

If the quotient is a whole number, then 2 and 240,915,236.5 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:

1 481,830,473
-1 -481,830,473

Now, we try dividing 481,830,473 by 3:

481,830,473 ÷ 3 = 160,610,157.6667

If the quotient is a whole number, then 3 and 160,610,157.6667 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:

1 481,830,473
-1 -481,830,473

Let's try dividing by 4:

481,830,473 ÷ 4 = 120,457,618.25

If the quotient is a whole number, then 4 and 120,457,618.25 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:

1 481,830,473
-1 481,830,473
Keep dividing by the next highest number until you cannot divide anymore.

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

11723533919011,21920,72323,251395,267534,7731,232,3039,091,14120,949,15128,342,969481,830,473
-1-17-23-53-391-901-1,219-20,723-23,251-395,267-534,773-1,232,303-9,091,141-20,949,151-28,342,969-481,830,473

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