Q: What are the factor combinations of the number 221,244,331?

 A:
Positive:   1 x 2212443317 x 3160633311 x 2011312143 x 514521777 x 2873303301 x 735031473 x 4677473311 x 66821
Negative: -1 x -221244331-7 x -31606333-11 x -20113121-43 x -5145217-77 x -2873303-301 x -735031-473 x -467747-3311 x -66821


How do I find the factor combinations of the number 221,244,331?

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 221,244,331, 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.

1 221,244,331
-1 -221,244,331

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 221,244,331.

Example:
1 x 221,244,331 = 221,244,331
and
-1 x -221,244,331 = 221,244,331
Notice both answers equal 221,244,331

With that explanation out of the way, let's continue. Next, we take the number 221,244,331 and divide it by 2:

221,244,331 ÷ 2 = 110,622,165.5

If the quotient is a whole number, then 2 and 110,622,165.5 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:

1 221,244,331
-1 -221,244,331

Now, we try dividing 221,244,331 by 3:

221,244,331 ÷ 3 = 73,748,110.3333

If the quotient is a whole number, then 3 and 73,748,110.3333 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:

1 221,244,331
-1 -221,244,331

Let's try dividing by 4:

221,244,331 ÷ 4 = 55,311,082.75

If the quotient is a whole number, then 4 and 55,311,082.75 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:

1 221,244,331
-1 221,244,331
Keep dividing by the next highest number until you cannot divide anymore.

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

171143773014733,31166,821467,747735,0312,873,3035,145,21720,113,12131,606,333221,244,331
-1-7-11-43-77-301-473-3,311-66,821-467,747-735,031-2,873,303-5,145,217-20,113,121-31,606,333-221,244,331

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