Q: What are the factor combinations of the number 38,020,775?

 A:
Positive:   1 x 380207755 x 760415513 x 292467525 x 152083165 x 584935169 x 224975325 x 116987845 x 449954225 x 8999
Negative: -1 x -38020775-5 x -7604155-13 x -2924675-25 x -1520831-65 x -584935-169 x -224975-325 x -116987-845 x -44995-4225 x -8999


How do I find the factor combinations of the number 38,020,775?

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 38,020,775, 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 38,020,775
-1 -38,020,775

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 38,020,775.

Example:
1 x 38,020,775 = 38,020,775
and
-1 x -38,020,775 = 38,020,775
Notice both answers equal 38,020,775

With that explanation out of the way, let's continue. Next, we take the number 38,020,775 and divide it by 2:

38,020,775 ÷ 2 = 19,010,387.5

If the quotient is a whole number, then 2 and 19,010,387.5 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 38,020,775
-1 -38,020,775

Now, we try dividing 38,020,775 by 3:

38,020,775 ÷ 3 = 12,673,591.6667

If the quotient is a whole number, then 3 and 12,673,591.6667 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 38,020,775
-1 -38,020,775

Let's try dividing by 4:

38,020,775 ÷ 4 = 9,505,193.75

If the quotient is a whole number, then 4 and 9,505,193.75 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 38,020,775
-1 38,020,775
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651693258454,2258,99944,995116,987224,975584,9351,520,8312,924,6757,604,15538,020,775
-1-5-13-25-65-169-325-845-4,225-8,999-44,995-116,987-224,975-584,935-1,520,831-2,924,675-7,604,155-38,020,775

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