Q: What are the factor combinations of the number 15,356,117?

 A:
Positive:   1 x 153561177 x 219373117 x 90330143 x 357119119 x 129043301 x 51017731 x 210073001 x 5117
Negative: -1 x -15356117-7 x -2193731-17 x -903301-43 x -357119-119 x -129043-301 x -51017-731 x -21007-3001 x -5117


How do I find the factor combinations of the number 15,356,117?

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 15,356,117, 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 15,356,117
-1 -15,356,117

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 15,356,117.

Example:
1 x 15,356,117 = 15,356,117
and
-1 x -15,356,117 = 15,356,117
Notice both answers equal 15,356,117

With that explanation out of the way, let's continue. Next, we take the number 15,356,117 and divide it by 2:

15,356,117 ÷ 2 = 7,678,058.5

If the quotient is a whole number, then 2 and 7,678,058.5 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 15,356,117
-1 -15,356,117

Now, we try dividing 15,356,117 by 3:

15,356,117 ÷ 3 = 5,118,705.6667

If the quotient is a whole number, then 3 and 5,118,705.6667 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 15,356,117
-1 -15,356,117

Let's try dividing by 4:

15,356,117 ÷ 4 = 3,839,029.25

If the quotient is a whole number, then 4 and 3,839,029.25 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 15,356,117
-1 15,356,117
Keep dividing by the next highest number until you cannot divide anymore.

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

1717431193017313,0015,11721,00751,017129,043357,119903,3012,193,73115,356,117
-1-7-17-43-119-301-731-3,001-5,117-21,007-51,017-129,043-357,119-903,301-2,193,731-15,356,117

More Examples

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