Q: What are the factor combinations of the number 33,210,233?

 A:
Positive:   1 x 332102337 x 474431919 x 174790743 x 772331133 x 249701301 x 110333817 x 406495719 x 5807
Negative: -1 x -33210233-7 x -4744319-19 x -1747907-43 x -772331-133 x -249701-301 x -110333-817 x -40649-5719 x -5807


How do I find the factor combinations of the number 33,210,233?

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 33,210,233, 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 33,210,233
-1 -33,210,233

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 33,210,233.

Example:
1 x 33,210,233 = 33,210,233
and
-1 x -33,210,233 = 33,210,233
Notice both answers equal 33,210,233

With that explanation out of the way, let's continue. Next, we take the number 33,210,233 and divide it by 2:

33,210,233 ÷ 2 = 16,605,116.5

If the quotient is a whole number, then 2 and 16,605,116.5 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 33,210,233
-1 -33,210,233

Now, we try dividing 33,210,233 by 3:

33,210,233 ÷ 3 = 11,070,077.6667

If the quotient is a whole number, then 3 and 11,070,077.6667 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 33,210,233
-1 -33,210,233

Let's try dividing by 4:

33,210,233 ÷ 4 = 8,302,558.25

If the quotient is a whole number, then 4 and 8,302,558.25 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 33,210,233
-1 33,210,233
Keep dividing by the next highest number until you cannot divide anymore.

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

1719431333018175,7195,80740,649110,333249,701772,3311,747,9074,744,31933,210,233
-1-7-19-43-133-301-817-5,719-5,807-40,649-110,333-249,701-772,331-1,747,907-4,744,319-33,210,233

More Examples

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