Q: What are the factor combinations of the number 15,501,655?

 A:
Positive:   1 x 155016555 x 310033113 x 119243523 x 67398565 x 238487115 x 134797299 x 518451495 x 10369
Negative: -1 x -15501655-5 x -3100331-13 x -1192435-23 x -673985-65 x -238487-115 x -134797-299 x -51845-1495 x -10369


How do I find the factor combinations of the number 15,501,655?

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 15,501,655, 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 15,501,655
-1 -15,501,655

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 15,501,655.

Example:
1 x 15,501,655 = 15,501,655
and
-1 x -15,501,655 = 15,501,655
Notice both answers equal 15,501,655

With that explanation out of the way, let's continue. Next, we take the number 15,501,655 and divide it by 2:

15,501,655 ÷ 2 = 7,750,827.5

If the quotient is a whole number, then 2 and 7,750,827.5 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 15,501,655
-1 -15,501,655

Now, we try dividing 15,501,655 by 3:

15,501,655 ÷ 3 = 5,167,218.3333

If the quotient is a whole number, then 3 and 5,167,218.3333 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 15,501,655
-1 -15,501,655

Let's try dividing by 4:

15,501,655 ÷ 4 = 3,875,413.75

If the quotient is a whole number, then 4 and 3,875,413.75 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 15,501,655
-1 15,501,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151323651152991,49510,36951,845134,797238,487673,9851,192,4353,100,33115,501,655
-1-5-13-23-65-115-299-1,495-10,369-51,845-134,797-238,487-673,985-1,192,435-3,100,331-15,501,655

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