Q: What are the factor combinations of the number 46,431,535?

 A:
Positive:   1 x 464315355 x 928630719 x 244376547 x 98790595 x 488753235 x 197581893 x 519954465 x 10399
Negative: -1 x -46431535-5 x -9286307-19 x -2443765-47 x -987905-95 x -488753-235 x -197581-893 x -51995-4465 x -10399


How do I find the factor combinations of the number 46,431,535?

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 46,431,535, 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 46,431,535
-1 -46,431,535

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 46,431,535.

Example:
1 x 46,431,535 = 46,431,535
and
-1 x -46,431,535 = 46,431,535
Notice both answers equal 46,431,535

With that explanation out of the way, let's continue. Next, we take the number 46,431,535 and divide it by 2:

46,431,535 ÷ 2 = 23,215,767.5

If the quotient is a whole number, then 2 and 23,215,767.5 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 46,431,535
-1 -46,431,535

Now, we try dividing 46,431,535 by 3:

46,431,535 ÷ 3 = 15,477,178.3333

If the quotient is a whole number, then 3 and 15,477,178.3333 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 46,431,535
-1 -46,431,535

Let's try dividing by 4:

46,431,535 ÷ 4 = 11,607,883.75

If the quotient is a whole number, then 4 and 11,607,883.75 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 46,431,535
-1 46,431,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151947952358934,46510,39951,995197,581488,753987,9052,443,7659,286,30746,431,535
-1-5-19-47-95-235-893-4,465-10,399-51,995-197,581-488,753-987,905-2,443,765-9,286,307-46,431,535

More Examples

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