Q: What are the factor combinations of the number 38,528,069?

 A:
Positive:   1 x 3852806917 x 226635741 x 939709167 x 230707331 x 116399697 x 552772839 x 135715627 x 6847
Negative: -1 x -38528069-17 x -2266357-41 x -939709-167 x -230707-331 x -116399-697 x -55277-2839 x -13571-5627 x -6847


How do I find the factor combinations of the number 38,528,069?

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 38,528,069, 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 38,528,069
-1 -38,528,069

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 38,528,069.

Example:
1 x 38,528,069 = 38,528,069
and
-1 x -38,528,069 = 38,528,069
Notice both answers equal 38,528,069

With that explanation out of the way, let's continue. Next, we take the number 38,528,069 and divide it by 2:

38,528,069 ÷ 2 = 19,264,034.5

If the quotient is a whole number, then 2 and 19,264,034.5 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 38,528,069
-1 -38,528,069

Now, we try dividing 38,528,069 by 3:

38,528,069 ÷ 3 = 12,842,689.6667

If the quotient is a whole number, then 3 and 12,842,689.6667 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 38,528,069
-1 -38,528,069

Let's try dividing by 4:

38,528,069 ÷ 4 = 9,632,017.25

If the quotient is a whole number, then 4 and 9,632,017.25 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 38,528,069
-1 38,528,069
Keep dividing by the next highest number until you cannot divide anymore.

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

117411673316972,8395,6276,84713,57155,277116,399230,707939,7092,266,35738,528,069
-1-17-41-167-331-697-2,839-5,627-6,847-13,571-55,277-116,399-230,707-939,709-2,266,357-38,528,069

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