Q: What are the factor combinations of the number 46,471,513?

 A:
Positive:   1 x 4647151311 x 422468353 x 87682179 x 588247583 x 79711869 x 534771009 x 460574187 x 11099
Negative: -1 x -46471513-11 x -4224683-53 x -876821-79 x -588247-583 x -79711-869 x -53477-1009 x -46057-4187 x -11099


How do I find the factor combinations of the number 46,471,513?

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 46,471,513, 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 46,471,513
-1 -46,471,513

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 46,471,513.

Example:
1 x 46,471,513 = 46,471,513
and
-1 x -46,471,513 = 46,471,513
Notice both answers equal 46,471,513

With that explanation out of the way, let's continue. Next, we take the number 46,471,513 and divide it by 2:

46,471,513 ÷ 2 = 23,235,756.5

If the quotient is a whole number, then 2 and 23,235,756.5 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 46,471,513
-1 -46,471,513

Now, we try dividing 46,471,513 by 3:

46,471,513 ÷ 3 = 15,490,504.3333

If the quotient is a whole number, then 3 and 15,490,504.3333 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 46,471,513
-1 -46,471,513

Let's try dividing by 4:

46,471,513 ÷ 4 = 11,617,878.25

If the quotient is a whole number, then 4 and 11,617,878.25 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 46,471,513
-1 46,471,513
Keep dividing by the next highest number until you cannot divide anymore.

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

11153795838691,0094,18711,09946,05753,47779,711588,247876,8214,224,68346,471,513
-1-11-53-79-583-869-1,009-4,187-11,099-46,057-53,477-79,711-588,247-876,821-4,224,683-46,471,513

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