Q: What are the factor combinations of the number 15,245,155?

 A:
Positive:   1 x 152451555 x 304903129 x 52569547 x 324365145 x 105139235 x 648731363 x 111852237 x 6815
Negative: -1 x -15245155-5 x -3049031-29 x -525695-47 x -324365-145 x -105139-235 x -64873-1363 x -11185-2237 x -6815


How do I find the factor combinations of the number 15,245,155?

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 15,245,155, 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 15,245,155
-1 -15,245,155

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 15,245,155.

Example:
1 x 15,245,155 = 15,245,155
and
-1 x -15,245,155 = 15,245,155
Notice both answers equal 15,245,155

With that explanation out of the way, let's continue. Next, we take the number 15,245,155 and divide it by 2:

15,245,155 ÷ 2 = 7,622,577.5

If the quotient is a whole number, then 2 and 7,622,577.5 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 15,245,155
-1 -15,245,155

Now, we try dividing 15,245,155 by 3:

15,245,155 ÷ 3 = 5,081,718.3333

If the quotient is a whole number, then 3 and 5,081,718.3333 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 15,245,155
-1 -15,245,155

Let's try dividing by 4:

15,245,155 ÷ 4 = 3,811,288.75

If the quotient is a whole number, then 4 and 3,811,288.75 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 15,245,155
-1 15,245,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1529471452351,3632,2376,81511,18564,873105,139324,365525,6953,049,03115,245,155
-1-5-29-47-145-235-1,363-2,237-6,815-11,185-64,873-105,139-324,365-525,695-3,049,031-15,245,155

More Examples

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