Q: What are the factor combinations of the number 39,600,769?

 A:
Positive:   1 x 3960076913 x 304621317 x 232945719 x 2084251221 x 179189247 x 160327323 x 1226034199 x 9431
Negative: -1 x -39600769-13 x -3046213-17 x -2329457-19 x -2084251-221 x -179189-247 x -160327-323 x -122603-4199 x -9431


How do I find the factor combinations of the number 39,600,769?

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 39,600,769, 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 39,600,769
-1 -39,600,769

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 39,600,769.

Example:
1 x 39,600,769 = 39,600,769
and
-1 x -39,600,769 = 39,600,769
Notice both answers equal 39,600,769

With that explanation out of the way, let's continue. Next, we take the number 39,600,769 and divide it by 2:

39,600,769 ÷ 2 = 19,800,384.5

If the quotient is a whole number, then 2 and 19,800,384.5 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 39,600,769
-1 -39,600,769

Now, we try dividing 39,600,769 by 3:

39,600,769 ÷ 3 = 13,200,256.3333

If the quotient is a whole number, then 3 and 13,200,256.3333 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 39,600,769
-1 -39,600,769

Let's try dividing by 4:

39,600,769 ÷ 4 = 9,900,192.25

If the quotient is a whole number, then 4 and 9,900,192.25 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 39,600,769
-1 39,600,769
Keep dividing by the next highest number until you cannot divide anymore.

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

11317192212473234,1999,431122,603160,327179,1892,084,2512,329,4573,046,21339,600,769
-1-13-17-19-221-247-323-4,199-9,431-122,603-160,327-179,189-2,084,251-2,329,457-3,046,213-39,600,769

More Examples

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