Q: What are the factor combinations of the number 216,747,479?

 A:
Positive:   1 x 21674747913 x 1667288329 x 747405167 x 3235037377 x 574927871 x 2488491943 x 1115538581 x 25259
Negative: -1 x -216747479-13 x -16672883-29 x -7474051-67 x -3235037-377 x -574927-871 x -248849-1943 x -111553-8581 x -25259


How do I find the factor combinations of the number 216,747,479?

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 216,747,479, 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.

1 216,747,479
-1 -216,747,479

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 216,747,479.

Example:
1 x 216,747,479 = 216,747,479
and
-1 x -216,747,479 = 216,747,479
Notice both answers equal 216,747,479

With that explanation out of the way, let's continue. Next, we take the number 216,747,479 and divide it by 2:

216,747,479 ÷ 2 = 108,373,739.5

If the quotient is a whole number, then 2 and 108,373,739.5 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:

1 216,747,479
-1 -216,747,479

Now, we try dividing 216,747,479 by 3:

216,747,479 ÷ 3 = 72,249,159.6667

If the quotient is a whole number, then 3 and 72,249,159.6667 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:

1 216,747,479
-1 -216,747,479

Let's try dividing by 4:

216,747,479 ÷ 4 = 54,186,869.75

If the quotient is a whole number, then 4 and 54,186,869.75 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:

1 216,747,479
-1 216,747,479
Keep dividing by the next highest number until you cannot divide anymore.

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

11329673778711,9438,58125,259111,553248,849574,9273,235,0377,474,05116,672,883216,747,479
-1-13-29-67-377-871-1,943-8,581-25,259-111,553-248,849-574,927-3,235,037-7,474,051-16,672,883-216,747,479

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