Q: What are the factor combinations of the number 15,355,535?

 A:
Positive:   1 x 153555355 x 307110713 x 118119565 x 236239101 x 152035505 x 304071313 x 116952339 x 6565
Negative: -1 x -15355535-5 x -3071107-13 x -1181195-65 x -236239-101 x -152035-505 x -30407-1313 x -11695-2339 x -6565


How do I find the factor combinations of the number 15,355,535?

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 15,355,535, 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 15,355,535
-1 -15,355,535

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 15,355,535.

Example:
1 x 15,355,535 = 15,355,535
and
-1 x -15,355,535 = 15,355,535
Notice both answers equal 15,355,535

With that explanation out of the way, let's continue. Next, we take the number 15,355,535 and divide it by 2:

15,355,535 ÷ 2 = 7,677,767.5

If the quotient is a whole number, then 2 and 7,677,767.5 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 15,355,535
-1 -15,355,535

Now, we try dividing 15,355,535 by 3:

15,355,535 ÷ 3 = 5,118,511.6667

If the quotient is a whole number, then 3 and 5,118,511.6667 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 15,355,535
-1 -15,355,535

Let's try dividing by 4:

15,355,535 ÷ 4 = 3,838,883.75

If the quotient is a whole number, then 4 and 3,838,883.75 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 15,355,535
-1 15,355,535
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651015051,3132,3396,56511,69530,407152,035236,2391,181,1953,071,10715,355,535
-1-5-13-65-101-505-1,313-2,339-6,565-11,695-30,407-152,035-236,239-1,181,195-3,071,107-15,355,535

More Examples

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