Q: What are the factor combinations of the number 20,635,769?

 A:
Positive:   1 x 206357697 x 294796711 x 187597977 x 267997263 x 784631019 x 202511841 x 112092893 x 7133
Negative: -1 x -20635769-7 x -2947967-11 x -1875979-77 x -267997-263 x -78463-1019 x -20251-1841 x -11209-2893 x -7133


How do I find the factor combinations of the number 20,635,769?

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 20,635,769, 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 20,635,769
-1 -20,635,769

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 20,635,769.

Example:
1 x 20,635,769 = 20,635,769
and
-1 x -20,635,769 = 20,635,769
Notice both answers equal 20,635,769

With that explanation out of the way, let's continue. Next, we take the number 20,635,769 and divide it by 2:

20,635,769 ÷ 2 = 10,317,884.5

If the quotient is a whole number, then 2 and 10,317,884.5 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 20,635,769
-1 -20,635,769

Now, we try dividing 20,635,769 by 3:

20,635,769 ÷ 3 = 6,878,589.6667

If the quotient is a whole number, then 3 and 6,878,589.6667 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 20,635,769
-1 -20,635,769

Let's try dividing by 4:

20,635,769 ÷ 4 = 5,158,942.25

If the quotient is a whole number, then 4 and 5,158,942.25 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 20,635,769
-1 20,635,769
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772631,0191,8412,8937,13311,20920,25178,463267,9971,875,9792,947,96720,635,769
-1-7-11-77-263-1,019-1,841-2,893-7,133-11,209-20,251-78,463-267,997-1,875,979-2,947,967-20,635,769

More Examples

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