Q: What are the factor combinations of the number 46,451,821?

 A:
Positive:   1 x 4645182113 x 357321759 x 78731971 x 654251767 x 60563853 x 54457923 x 503274189 x 11089
Negative: -1 x -46451821-13 x -3573217-59 x -787319-71 x -654251-767 x -60563-853 x -54457-923 x -50327-4189 x -11089


How do I find the factor combinations of the number 46,451,821?

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 46,451,821, 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 46,451,821
-1 -46,451,821

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 46,451,821.

Example:
1 x 46,451,821 = 46,451,821
and
-1 x -46,451,821 = 46,451,821
Notice both answers equal 46,451,821

With that explanation out of the way, let's continue. Next, we take the number 46,451,821 and divide it by 2:

46,451,821 ÷ 2 = 23,225,910.5

If the quotient is a whole number, then 2 and 23,225,910.5 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 46,451,821
-1 -46,451,821

Now, we try dividing 46,451,821 by 3:

46,451,821 ÷ 3 = 15,483,940.3333

If the quotient is a whole number, then 3 and 15,483,940.3333 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 46,451,821
-1 -46,451,821

Let's try dividing by 4:

46,451,821 ÷ 4 = 11,612,955.25

If the quotient is a whole number, then 4 and 11,612,955.25 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 46,451,821
-1 46,451,821
Keep dividing by the next highest number until you cannot divide anymore.

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

11359717678539234,18911,08950,32754,45760,563654,251787,3193,573,21746,451,821
-1-13-59-71-767-853-923-4,189-11,089-50,327-54,457-60,563-654,251-787,319-3,573,217-46,451,821

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