Q: What are the factor combinations of the number 46,044,239?

 A:
Positive:   1 x 4604423919 x 242338173 x 63074389 x 517351373 x 1234431387 x 331971691 x 272296497 x 7087
Negative: -1 x -46044239-19 x -2423381-73 x -630743-89 x -517351-373 x -123443-1387 x -33197-1691 x -27229-6497 x -7087


How do I find the factor combinations of the number 46,044,239?

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 46,044,239, 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 46,044,239
-1 -46,044,239

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 46,044,239.

Example:
1 x 46,044,239 = 46,044,239
and
-1 x -46,044,239 = 46,044,239
Notice both answers equal 46,044,239

With that explanation out of the way, let's continue. Next, we take the number 46,044,239 and divide it by 2:

46,044,239 ÷ 2 = 23,022,119.5

If the quotient is a whole number, then 2 and 23,022,119.5 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 46,044,239
-1 -46,044,239

Now, we try dividing 46,044,239 by 3:

46,044,239 ÷ 3 = 15,348,079.6667

If the quotient is a whole number, then 3 and 15,348,079.6667 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 46,044,239
-1 -46,044,239

Let's try dividing by 4:

46,044,239 ÷ 4 = 11,511,059.75

If the quotient is a whole number, then 4 and 11,511,059.75 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 46,044,239
-1 46,044,239
Keep dividing by the next highest number until you cannot divide anymore.

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

11973893731,3871,6916,4977,08727,22933,197123,443517,351630,7432,423,38146,044,239
-1-19-73-89-373-1,387-1,691-6,497-7,087-27,229-33,197-123,443-517,351-630,743-2,423,381-46,044,239

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