Q: What are the factor combinations of the number 15,105,055?

 A:
Positive:   1 x 151050555 x 30210117 x 215786535 x 431573101 x 149555505 x 29911707 x 213653535 x 4273
Negative: -1 x -15105055-5 x -3021011-7 x -2157865-35 x -431573-101 x -149555-505 x -29911-707 x -21365-3535 x -4273


How do I find the factor combinations of the number 15,105,055?

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 15,105,055, 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 15,105,055
-1 -15,105,055

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 15,105,055.

Example:
1 x 15,105,055 = 15,105,055
and
-1 x -15,105,055 = 15,105,055
Notice both answers equal 15,105,055

With that explanation out of the way, let's continue. Next, we take the number 15,105,055 and divide it by 2:

15,105,055 ÷ 2 = 7,552,527.5

If the quotient is a whole number, then 2 and 7,552,527.5 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 15,105,055
-1 -15,105,055

Now, we try dividing 15,105,055 by 3:

15,105,055 ÷ 3 = 5,035,018.3333

If the quotient is a whole number, then 3 and 5,035,018.3333 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 15,105,055
-1 -15,105,055

Let's try dividing by 4:

15,105,055 ÷ 4 = 3,776,263.75

If the quotient is a whole number, then 4 and 3,776,263.75 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 15,105,055
-1 15,105,055
Keep dividing by the next highest number until you cannot divide anymore.

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

157351015057073,5354,27321,36529,911149,555431,5732,157,8653,021,01115,105,055
-1-5-7-35-101-505-707-3,535-4,273-21,365-29,911-149,555-431,573-2,157,865-3,021,011-15,105,055

More Examples

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