Q: What are the factor combinations of the number 20,643,535?

 A:
Positive:   1 x 206435355 x 412870711 x 187668523 x 89754555 x 375337115 x 179509253 x 815951265 x 16319
Negative: -1 x -20643535-5 x -4128707-11 x -1876685-23 x -897545-55 x -375337-115 x -179509-253 x -81595-1265 x -16319


How do I find the factor combinations of the number 20,643,535?

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 20,643,535, 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 20,643,535
-1 -20,643,535

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 20,643,535.

Example:
1 x 20,643,535 = 20,643,535
and
-1 x -20,643,535 = 20,643,535
Notice both answers equal 20,643,535

With that explanation out of the way, let's continue. Next, we take the number 20,643,535 and divide it by 2:

20,643,535 ÷ 2 = 10,321,767.5

If the quotient is a whole number, then 2 and 10,321,767.5 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 20,643,535
-1 -20,643,535

Now, we try dividing 20,643,535 by 3:

20,643,535 ÷ 3 = 6,881,178.3333

If the quotient is a whole number, then 3 and 6,881,178.3333 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 20,643,535
-1 -20,643,535

Let's try dividing by 4:

20,643,535 ÷ 4 = 5,160,883.75

If the quotient is a whole number, then 4 and 5,160,883.75 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 20,643,535
-1 20,643,535
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,26516,31981,595179,509375,337897,5451,876,6854,128,70720,643,535
-1-5-11-23-55-115-253-1,265-16,319-81,595-179,509-375,337-897,545-1,876,685-4,128,707-20,643,535

More Examples

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