Q: What are the factor combinations of the number 46,427,119?

 A:
Positive:   1 x 4642711917 x 273100731 x 149764937 x 1254787527 x 88097629 x 738111147 x 404772381 x 19499
Negative: -1 x -46427119-17 x -2731007-31 x -1497649-37 x -1254787-527 x -88097-629 x -73811-1147 x -40477-2381 x -19499


How do I find the factor combinations of the number 46,427,119?

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 46,427,119, 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 46,427,119
-1 -46,427,119

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 46,427,119.

Example:
1 x 46,427,119 = 46,427,119
and
-1 x -46,427,119 = 46,427,119
Notice both answers equal 46,427,119

With that explanation out of the way, let's continue. Next, we take the number 46,427,119 and divide it by 2:

46,427,119 ÷ 2 = 23,213,559.5

If the quotient is a whole number, then 2 and 23,213,559.5 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 46,427,119
-1 -46,427,119

Now, we try dividing 46,427,119 by 3:

46,427,119 ÷ 3 = 15,475,706.3333

If the quotient is a whole number, then 3 and 15,475,706.3333 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 46,427,119
-1 -46,427,119

Let's try dividing by 4:

46,427,119 ÷ 4 = 11,606,779.75

If the quotient is a whole number, then 4 and 11,606,779.75 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 46,427,119
-1 46,427,119
Keep dividing by the next highest number until you cannot divide anymore.

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

11731375276291,1472,38119,49940,47773,81188,0971,254,7871,497,6492,731,00746,427,119
-1-17-31-37-527-629-1,147-2,381-19,499-40,477-73,811-88,097-1,254,787-1,497,649-2,731,007-46,427,119

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