Q: What are the factor combinations of the number 233,020,207?

 A:
Positive:   1 x 2330202077 x 3328860117 x 13707071119 x 19581531217 x 1914711609 x 1448238519 x 2735311263 x 20689
Negative: -1 x -233020207-7 x -33288601-17 x -13707071-119 x -1958153-1217 x -191471-1609 x -144823-8519 x -27353-11263 x -20689


How do I find the factor combinations of the number 233,020,207?

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 233,020,207, 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.

1 233,020,207
-1 -233,020,207

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 233,020,207.

Example:
1 x 233,020,207 = 233,020,207
and
-1 x -233,020,207 = 233,020,207
Notice both answers equal 233,020,207

With that explanation out of the way, let's continue. Next, we take the number 233,020,207 and divide it by 2:

233,020,207 ÷ 2 = 116,510,103.5

If the quotient is a whole number, then 2 and 116,510,103.5 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:

1 233,020,207
-1 -233,020,207

Now, we try dividing 233,020,207 by 3:

233,020,207 ÷ 3 = 77,673,402.3333

If the quotient is a whole number, then 3 and 77,673,402.3333 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:

1 233,020,207
-1 -233,020,207

Let's try dividing by 4:

233,020,207 ÷ 4 = 58,255,051.75

If the quotient is a whole number, then 4 and 58,255,051.75 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:

1 233,020,207
-1 233,020,207
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191,2171,6098,51911,26320,68927,353144,823191,4711,958,15313,707,07133,288,601233,020,207
-1-7-17-119-1,217-1,609-8,519-11,263-20,689-27,353-144,823-191,471-1,958,153-13,707,071-33,288,601-233,020,207

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