Q: What are the factor combinations of the number 20,348,615?

 A:
Positive:   1 x 203486155 x 40697237 x 290694535 x 581389281 x 724151405 x 144831967 x 103452069 x 9835
Negative: -1 x -20348615-5 x -4069723-7 x -2906945-35 x -581389-281 x -72415-1405 x -14483-1967 x -10345-2069 x -9835


How do I find the factor combinations of the number 20,348,615?

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 20,348,615, 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 20,348,615
-1 -20,348,615

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 20,348,615.

Example:
1 x 20,348,615 = 20,348,615
and
-1 x -20,348,615 = 20,348,615
Notice both answers equal 20,348,615

With that explanation out of the way, let's continue. Next, we take the number 20,348,615 and divide it by 2:

20,348,615 ÷ 2 = 10,174,307.5

If the quotient is a whole number, then 2 and 10,174,307.5 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 20,348,615
-1 -20,348,615

Now, we try dividing 20,348,615 by 3:

20,348,615 ÷ 3 = 6,782,871.6667

If the quotient is a whole number, then 3 and 6,782,871.6667 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 20,348,615
-1 -20,348,615

Let's try dividing by 4:

20,348,615 ÷ 4 = 5,087,153.75

If the quotient is a whole number, then 4 and 5,087,153.75 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 20,348,615
-1 20,348,615
Keep dividing by the next highest number until you cannot divide anymore.

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

157352811,4051,9672,0699,83510,34514,48372,415581,3892,906,9454,069,72320,348,615
-1-5-7-35-281-1,405-1,967-2,069-9,835-10,345-14,483-72,415-581,389-2,906,945-4,069,723-20,348,615

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