Q: What are the factor combinations of the number 216,501,607?

 A:
Positive:   1 x 2165016077 x 3092880141 x 5280527287 x 754361353 x 6133192137 x 1013112471 x 8761714473 x 14959
Negative: -1 x -216501607-7 x -30928801-41 x -5280527-287 x -754361-353 x -613319-2137 x -101311-2471 x -87617-14473 x -14959


How do I find the factor combinations of the number 216,501,607?

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 216,501,607, 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.

1 216,501,607
-1 -216,501,607

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 216,501,607.

Example:
1 x 216,501,607 = 216,501,607
and
-1 x -216,501,607 = 216,501,607
Notice both answers equal 216,501,607

With that explanation out of the way, let's continue. Next, we take the number 216,501,607 and divide it by 2:

216,501,607 ÷ 2 = 108,250,803.5

If the quotient is a whole number, then 2 and 108,250,803.5 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:

1 216,501,607
-1 -216,501,607

Now, we try dividing 216,501,607 by 3:

216,501,607 ÷ 3 = 72,167,202.3333

If the quotient is a whole number, then 3 and 72,167,202.3333 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:

1 216,501,607
-1 -216,501,607

Let's try dividing by 4:

216,501,607 ÷ 4 = 54,125,401.75

If the quotient is a whole number, then 4 and 54,125,401.75 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:

1 216,501,607
-1 216,501,607
Keep dividing by the next highest number until you cannot divide anymore.

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

17412873532,1372,47114,47314,95987,617101,311613,319754,3615,280,52730,928,801216,501,607
-1-7-41-287-353-2,137-2,471-14,473-14,959-87,617-101,311-613,319-754,361-5,280,527-30,928,801-216,501,607

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