Q: What are the factor combinations of the number 46,888,421?

 A:
Positive:   1 x 4688842123 x 203862759 x 794719109 x 430169317 x 1479131357 x 345532507 x 187036431 x 7291
Negative: -1 x -46888421-23 x -2038627-59 x -794719-109 x -430169-317 x -147913-1357 x -34553-2507 x -18703-6431 x -7291


How do I find the factor combinations of the number 46,888,421?

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 46,888,421, 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 46,888,421
-1 -46,888,421

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 46,888,421.

Example:
1 x 46,888,421 = 46,888,421
and
-1 x -46,888,421 = 46,888,421
Notice both answers equal 46,888,421

With that explanation out of the way, let's continue. Next, we take the number 46,888,421 and divide it by 2:

46,888,421 ÷ 2 = 23,444,210.5

If the quotient is a whole number, then 2 and 23,444,210.5 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 46,888,421
-1 -46,888,421

Now, we try dividing 46,888,421 by 3:

46,888,421 ÷ 3 = 15,629,473.6667

If the quotient is a whole number, then 3 and 15,629,473.6667 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 46,888,421
-1 -46,888,421

Let's try dividing by 4:

46,888,421 ÷ 4 = 11,722,105.25

If the quotient is a whole number, then 4 and 11,722,105.25 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 46,888,421
-1 46,888,421
Keep dividing by the next highest number until you cannot divide anymore.

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

123591093171,3572,5076,4317,29118,70334,553147,913430,169794,7192,038,62746,888,421
-1-23-59-109-317-1,357-2,507-6,431-7,291-18,703-34,553-147,913-430,169-794,719-2,038,627-46,888,421

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 46,888,421:


Ask a Question