Q: What are the factor combinations of the number 210,333,643?

 A:
Positive:   1 x 21033364313 x 1617951123 x 914494159 x 3564977299 x 703457767 x 2742291357 x 15499911923 x 17641
Negative: -1 x -210333643-13 x -16179511-23 x -9144941-59 x -3564977-299 x -703457-767 x -274229-1357 x -154999-11923 x -17641


How do I find the factor combinations of the number 210,333,643?

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 210,333,643, 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.

1 210,333,643
-1 -210,333,643

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 210,333,643.

Example:
1 x 210,333,643 = 210,333,643
and
-1 x -210,333,643 = 210,333,643
Notice both answers equal 210,333,643

With that explanation out of the way, let's continue. Next, we take the number 210,333,643 and divide it by 2:

210,333,643 ÷ 2 = 105,166,821.5

If the quotient is a whole number, then 2 and 105,166,821.5 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:

1 210,333,643
-1 -210,333,643

Now, we try dividing 210,333,643 by 3:

210,333,643 ÷ 3 = 70,111,214.3333

If the quotient is a whole number, then 3 and 70,111,214.3333 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:

1 210,333,643
-1 -210,333,643

Let's try dividing by 4:

210,333,643 ÷ 4 = 52,583,410.75

If the quotient is a whole number, then 4 and 52,583,410.75 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:

1 210,333,643
-1 210,333,643
Keep dividing by the next highest number until you cannot divide anymore.

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

11323592997671,35711,92317,641154,999274,229703,4573,564,9779,144,94116,179,511210,333,643
-1-13-23-59-299-767-1,357-11,923-17,641-154,999-274,229-703,457-3,564,977-9,144,941-16,179,511-210,333,643

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