Q: What are the factor combinations of the number 15,405,325?

 A:
Positive:   1 x 154053255 x 308106513 x 118502525 x 61621365 x 237005107 x 143975325 x 47401443 x 34775535 x 287951391 x 110752215 x 69552675 x 5759
Negative: -1 x -15405325-5 x -3081065-13 x -1185025-25 x -616213-65 x -237005-107 x -143975-325 x -47401-443 x -34775-535 x -28795-1391 x -11075-2215 x -6955-2675 x -5759


How do I find the factor combinations of the number 15,405,325?

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 15,405,325, 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 15,405,325
-1 -15,405,325

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 15,405,325.

Example:
1 x 15,405,325 = 15,405,325
and
-1 x -15,405,325 = 15,405,325
Notice both answers equal 15,405,325

With that explanation out of the way, let's continue. Next, we take the number 15,405,325 and divide it by 2:

15,405,325 ÷ 2 = 7,702,662.5

If the quotient is a whole number, then 2 and 7,702,662.5 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 15,405,325
-1 -15,405,325

Now, we try dividing 15,405,325 by 3:

15,405,325 ÷ 3 = 5,135,108.3333

If the quotient is a whole number, then 3 and 5,135,108.3333 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 15,405,325
-1 -15,405,325

Let's try dividing by 4:

15,405,325 ÷ 4 = 3,851,331.25

If the quotient is a whole number, then 4 and 3,851,331.25 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 15,405,325
-1 15,405,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651073254435351,3912,2152,6755,7596,95511,07528,79534,77547,401143,975237,005616,2131,185,0253,081,06515,405,325
-1-5-13-25-65-107-325-443-535-1,391-2,215-2,675-5,759-6,955-11,075-28,795-34,775-47,401-143,975-237,005-616,213-1,185,025-3,081,065-15,405,325

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