Q: What are the factor combinations of the number 46,222,031?

 A:
Positive:   1 x 4622203117 x 271894379 x 585089127 x 363953271 x 1705611343 x 344172159 x 214094607 x 10033
Negative: -1 x -46222031-17 x -2718943-79 x -585089-127 x -363953-271 x -170561-1343 x -34417-2159 x -21409-4607 x -10033


How do I find the factor combinations of the number 46,222,031?

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 46,222,031, 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 46,222,031
-1 -46,222,031

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 46,222,031.

Example:
1 x 46,222,031 = 46,222,031
and
-1 x -46,222,031 = 46,222,031
Notice both answers equal 46,222,031

With that explanation out of the way, let's continue. Next, we take the number 46,222,031 and divide it by 2:

46,222,031 ÷ 2 = 23,111,015.5

If the quotient is a whole number, then 2 and 23,111,015.5 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 46,222,031
-1 -46,222,031

Now, we try dividing 46,222,031 by 3:

46,222,031 ÷ 3 = 15,407,343.6667

If the quotient is a whole number, then 3 and 15,407,343.6667 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 46,222,031
-1 -46,222,031

Let's try dividing by 4:

46,222,031 ÷ 4 = 11,555,507.75

If the quotient is a whole number, then 4 and 11,555,507.75 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 46,222,031
-1 46,222,031
Keep dividing by the next highest number until you cannot divide anymore.

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

117791272711,3432,1594,60710,03321,40934,417170,561363,953585,0892,718,94346,222,031
-1-17-79-127-271-1,343-2,159-4,607-10,033-21,409-34,417-170,561-363,953-585,089-2,718,943-46,222,031

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