Q: What are the factor combinations of the number 46,491,815?

 A:
Positive:   1 x 464918155 x 929836343 x 1081205101 x 460315215 x 216241505 x 920632141 x 217154343 x 10705
Negative: -1 x -46491815-5 x -9298363-43 x -1081205-101 x -460315-215 x -216241-505 x -92063-2141 x -21715-4343 x -10705


How do I find the factor combinations of the number 46,491,815?

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 46,491,815, 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 46,491,815
-1 -46,491,815

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 46,491,815.

Example:
1 x 46,491,815 = 46,491,815
and
-1 x -46,491,815 = 46,491,815
Notice both answers equal 46,491,815

With that explanation out of the way, let's continue. Next, we take the number 46,491,815 and divide it by 2:

46,491,815 ÷ 2 = 23,245,907.5

If the quotient is a whole number, then 2 and 23,245,907.5 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 46,491,815
-1 -46,491,815

Now, we try dividing 46,491,815 by 3:

46,491,815 ÷ 3 = 15,497,271.6667

If the quotient is a whole number, then 3 and 15,497,271.6667 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 46,491,815
-1 -46,491,815

Let's try dividing by 4:

46,491,815 ÷ 4 = 11,622,953.75

If the quotient is a whole number, then 4 and 11,622,953.75 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 46,491,815
-1 46,491,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15431012155052,1414,34310,70521,71592,063216,241460,3151,081,2059,298,36346,491,815
-1-5-43-101-215-505-2,141-4,343-10,705-21,715-92,063-216,241-460,315-1,081,205-9,298,363-46,491,815

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