Q: What are the factor combinations of the number 223,420,031?

 A:
Positive:   1 x 22342003119 x 1175894929 x 770413971 x 3146761551 x 4054811349 x 1656192059 x 1085095711 x 39121
Negative: -1 x -223420031-19 x -11758949-29 x -7704139-71 x -3146761-551 x -405481-1349 x -165619-2059 x -108509-5711 x -39121


How do I find the factor combinations of the number 223,420,031?

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 223,420,031, 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.

1 223,420,031
-1 -223,420,031

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 223,420,031.

Example:
1 x 223,420,031 = 223,420,031
and
-1 x -223,420,031 = 223,420,031
Notice both answers equal 223,420,031

With that explanation out of the way, let's continue. Next, we take the number 223,420,031 and divide it by 2:

223,420,031 ÷ 2 = 111,710,015.5

If the quotient is a whole number, then 2 and 111,710,015.5 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:

1 223,420,031
-1 -223,420,031

Now, we try dividing 223,420,031 by 3:

223,420,031 ÷ 3 = 74,473,343.6667

If the quotient is a whole number, then 3 and 74,473,343.6667 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:

1 223,420,031
-1 -223,420,031

Let's try dividing by 4:

223,420,031 ÷ 4 = 55,855,007.75

If the quotient is a whole number, then 4 and 55,855,007.75 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:

1 223,420,031
-1 223,420,031
Keep dividing by the next highest number until you cannot divide anymore.

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

11929715511,3492,0595,71139,121108,509165,619405,4813,146,7617,704,13911,758,949223,420,031
-1-19-29-71-551-1,349-2,059-5,711-39,121-108,509-165,619-405,481-3,146,761-7,704,139-11,758,949-223,420,031

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