Q: What are the factor combinations of the number 46,055,341?

 A:
Positive:   1 x 4605534141 x 112330159 x 78059979 x 582979241 x 1911012419 x 190393239 x 142194661 x 9881
Negative: -1 x -46055341-41 x -1123301-59 x -780599-79 x -582979-241 x -191101-2419 x -19039-3239 x -14219-4661 x -9881


How do I find the factor combinations of the number 46,055,341?

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 46,055,341, 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 46,055,341
-1 -46,055,341

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 46,055,341.

Example:
1 x 46,055,341 = 46,055,341
and
-1 x -46,055,341 = 46,055,341
Notice both answers equal 46,055,341

With that explanation out of the way, let's continue. Next, we take the number 46,055,341 and divide it by 2:

46,055,341 ÷ 2 = 23,027,670.5

If the quotient is a whole number, then 2 and 23,027,670.5 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 46,055,341
-1 -46,055,341

Now, we try dividing 46,055,341 by 3:

46,055,341 ÷ 3 = 15,351,780.3333

If the quotient is a whole number, then 3 and 15,351,780.3333 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 46,055,341
-1 -46,055,341

Let's try dividing by 4:

46,055,341 ÷ 4 = 11,513,835.25

If the quotient is a whole number, then 4 and 11,513,835.25 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 46,055,341
-1 46,055,341
Keep dividing by the next highest number until you cannot divide anymore.

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

14159792412,4193,2394,6619,88114,21919,039191,101582,979780,5991,123,30146,055,341
-1-41-59-79-241-2,419-3,239-4,661-9,881-14,219-19,039-191,101-582,979-780,599-1,123,301-46,055,341

More Examples

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