Q: What are the factor combinations of the number 15,508,885?

 A:
Positive:   1 x 155088855 x 31017777 x 221555535 x 44311171 x 21843579 x 196315355 x 43687395 x 39263497 x 31205553 x 280452485 x 62412765 x 5609
Negative: -1 x -15508885-5 x -3101777-7 x -2215555-35 x -443111-71 x -218435-79 x -196315-355 x -43687-395 x -39263-497 x -31205-553 x -28045-2485 x -6241-2765 x -5609


How do I find the factor combinations of the number 15,508,885?

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 15,508,885, 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 15,508,885
-1 -15,508,885

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 15,508,885.

Example:
1 x 15,508,885 = 15,508,885
and
-1 x -15,508,885 = 15,508,885
Notice both answers equal 15,508,885

With that explanation out of the way, let's continue. Next, we take the number 15,508,885 and divide it by 2:

15,508,885 ÷ 2 = 7,754,442.5

If the quotient is a whole number, then 2 and 7,754,442.5 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 15,508,885
-1 -15,508,885

Now, we try dividing 15,508,885 by 3:

15,508,885 ÷ 3 = 5,169,628.3333

If the quotient is a whole number, then 3 and 5,169,628.3333 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 15,508,885
-1 -15,508,885

Let's try dividing by 4:

15,508,885 ÷ 4 = 3,877,221.25

If the quotient is a whole number, then 4 and 3,877,221.25 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 15,508,885
-1 15,508,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1573571793553954975532,4852,7655,6096,24128,04531,20539,26343,687196,315218,435443,1112,215,5553,101,77715,508,885
-1-5-7-35-71-79-355-395-497-553-2,485-2,765-5,609-6,241-28,045-31,205-39,263-43,687-196,315-218,435-443,111-2,215,555-3,101,777-15,508,885

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