Q: What are the factor combinations of the number 20,182,967?

 A:
Positive:   1 x 201829677 x 288328173 x 276479127 x 158921311 x 64897511 x 39497889 x 227032177 x 9271
Negative: -1 x -20182967-7 x -2883281-73 x -276479-127 x -158921-311 x -64897-511 x -39497-889 x -22703-2177 x -9271


How do I find the factor combinations of the number 20,182,967?

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 20,182,967, 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 20,182,967
-1 -20,182,967

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 20,182,967.

Example:
1 x 20,182,967 = 20,182,967
and
-1 x -20,182,967 = 20,182,967
Notice both answers equal 20,182,967

With that explanation out of the way, let's continue. Next, we take the number 20,182,967 and divide it by 2:

20,182,967 ÷ 2 = 10,091,483.5

If the quotient is a whole number, then 2 and 10,091,483.5 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 20,182,967
-1 -20,182,967

Now, we try dividing 20,182,967 by 3:

20,182,967 ÷ 3 = 6,727,655.6667

If the quotient is a whole number, then 3 and 6,727,655.6667 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 20,182,967
-1 -20,182,967

Let's try dividing by 4:

20,182,967 ÷ 4 = 5,045,741.75

If the quotient is a whole number, then 4 and 5,045,741.75 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 20,182,967
-1 20,182,967
Keep dividing by the next highest number until you cannot divide anymore.

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

17731273115118892,1779,27122,70339,49764,897158,921276,4792,883,28120,182,967
-1-7-73-127-311-511-889-2,177-9,271-22,703-39,497-64,897-158,921-276,479-2,883,281-20,182,967

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