Q: What are the factor combinations of the number 20,358,685?

 A:
Positive:   1 x 203586855 x 40717371951 x 104352087 x 9755
Negative: -1 x -20358685-5 x -4071737-1951 x -10435-2087 x -9755


How do I find the factor combinations of the number 20,358,685?

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 20,358,685, 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 20,358,685
-1 -20,358,685

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 20,358,685.

Example:
1 x 20,358,685 = 20,358,685
and
-1 x -20,358,685 = 20,358,685
Notice both answers equal 20,358,685

With that explanation out of the way, let's continue. Next, we take the number 20,358,685 and divide it by 2:

20,358,685 ÷ 2 = 10,179,342.5

If the quotient is a whole number, then 2 and 10,179,342.5 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 20,358,685
-1 -20,358,685

Now, we try dividing 20,358,685 by 3:

20,358,685 ÷ 3 = 6,786,228.3333

If the quotient is a whole number, then 3 and 6,786,228.3333 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 20,358,685
-1 -20,358,685

Let's try dividing by 4:

20,358,685 ÷ 4 = 5,089,671.25

If the quotient is a whole number, then 4 and 5,089,671.25 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 20,358,685
-1 20,358,685
Keep dividing by the next highest number until you cannot divide anymore.

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

151,9512,0879,75510,4354,071,73720,358,685
-1-5-1,951-2,087-9,755-10,435-4,071,737-20,358,685

More Examples

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