Q: What are the factor combinations of the number 46,211,035?

 A:
Positive:   1 x 462110355 x 924220713 x 355469565 x 710939101 x 457535505 x 915071313 x 351956565 x 7039
Negative: -1 x -46211035-5 x -9242207-13 x -3554695-65 x -710939-101 x -457535-505 x -91507-1313 x -35195-6565 x -7039


How do I find the factor combinations of the number 46,211,035?

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 46,211,035, 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 46,211,035
-1 -46,211,035

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 46,211,035.

Example:
1 x 46,211,035 = 46,211,035
and
-1 x -46,211,035 = 46,211,035
Notice both answers equal 46,211,035

With that explanation out of the way, let's continue. Next, we take the number 46,211,035 and divide it by 2:

46,211,035 ÷ 2 = 23,105,517.5

If the quotient is a whole number, then 2 and 23,105,517.5 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 46,211,035
-1 -46,211,035

Now, we try dividing 46,211,035 by 3:

46,211,035 ÷ 3 = 15,403,678.3333

If the quotient is a whole number, then 3 and 15,403,678.3333 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 46,211,035
-1 -46,211,035

Let's try dividing by 4:

46,211,035 ÷ 4 = 11,552,758.75

If the quotient is a whole number, then 4 and 11,552,758.75 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 46,211,035
-1 46,211,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651015051,3136,5657,03935,19591,507457,535710,9393,554,6959,242,20746,211,035
-1-5-13-65-101-505-1,313-6,565-7,039-35,195-91,507-457,535-710,939-3,554,695-9,242,207-46,211,035

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