Q: What are the factor combinations of the number 216,341,645?

 A:
Positive:   1 x 2163416455 x 4326832913 x 1664166565 x 332833389 x 2430805445 x 4861611157 x 1869855785 x 37397
Negative: -1 x -216341645-5 x -43268329-13 x -16641665-65 x -3328333-89 x -2430805-445 x -486161-1157 x -186985-5785 x -37397


How do I find the factor combinations of the number 216,341,645?

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 216,341,645, 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.

1 216,341,645
-1 -216,341,645

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 216,341,645.

Example:
1 x 216,341,645 = 216,341,645
and
-1 x -216,341,645 = 216,341,645
Notice both answers equal 216,341,645

With that explanation out of the way, let's continue. Next, we take the number 216,341,645 and divide it by 2:

216,341,645 ÷ 2 = 108,170,822.5

If the quotient is a whole number, then 2 and 108,170,822.5 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:

1 216,341,645
-1 -216,341,645

Now, we try dividing 216,341,645 by 3:

216,341,645 ÷ 3 = 72,113,881.6667

If the quotient is a whole number, then 3 and 72,113,881.6667 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:

1 216,341,645
-1 -216,341,645

Let's try dividing by 4:

216,341,645 ÷ 4 = 54,085,411.25

If the quotient is a whole number, then 4 and 54,085,411.25 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:

1 216,341,645
-1 216,341,645
Keep dividing by the next highest number until you cannot divide anymore.

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

151365894451,1575,78537,397186,985486,1612,430,8053,328,33316,641,66543,268,329216,341,645
-1-5-13-65-89-445-1,157-5,785-37,397-186,985-486,161-2,430,805-3,328,333-16,641,665-43,268,329-216,341,645

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