Q: What are the factor combinations of the number 46,880,339?

 A:
Positive:   1 x 4688033911 x 426184917 x 275766731 x 1512269187 x 250697341 x 137479527 x 889575797 x 8087
Negative: -1 x -46880339-11 x -4261849-17 x -2757667-31 x -1512269-187 x -250697-341 x -137479-527 x -88957-5797 x -8087


How do I find the factor combinations of the number 46,880,339?

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 46,880,339, 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 46,880,339
-1 -46,880,339

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 46,880,339.

Example:
1 x 46,880,339 = 46,880,339
and
-1 x -46,880,339 = 46,880,339
Notice both answers equal 46,880,339

With that explanation out of the way, let's continue. Next, we take the number 46,880,339 and divide it by 2:

46,880,339 ÷ 2 = 23,440,169.5

If the quotient is a whole number, then 2 and 23,440,169.5 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 46,880,339
-1 -46,880,339

Now, we try dividing 46,880,339 by 3:

46,880,339 ÷ 3 = 15,626,779.6667

If the quotient is a whole number, then 3 and 15,626,779.6667 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 46,880,339
-1 -46,880,339

Let's try dividing by 4:

46,880,339 ÷ 4 = 11,720,084.75

If the quotient is a whole number, then 4 and 11,720,084.75 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 46,880,339
-1 46,880,339
Keep dividing by the next highest number until you cannot divide anymore.

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

11117311873415275,7978,08788,957137,479250,6971,512,2692,757,6674,261,84946,880,339
-1-11-17-31-187-341-527-5,797-8,087-88,957-137,479-250,697-1,512,269-2,757,667-4,261,849-46,880,339

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