Q: What are the factor combinations of the number 33,422,137?

 A:
Positive:   1 x 334221377 x 477459137 x 90330143 x 777259259 x 129043301 x 1110371591 x 210073001 x 11137
Negative: -1 x -33422137-7 x -4774591-37 x -903301-43 x -777259-259 x -129043-301 x -111037-1591 x -21007-3001 x -11137


How do I find the factor combinations of the number 33,422,137?

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 33,422,137, 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 33,422,137
-1 -33,422,137

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 33,422,137.

Example:
1 x 33,422,137 = 33,422,137
and
-1 x -33,422,137 = 33,422,137
Notice both answers equal 33,422,137

With that explanation out of the way, let's continue. Next, we take the number 33,422,137 and divide it by 2:

33,422,137 ÷ 2 = 16,711,068.5

If the quotient is a whole number, then 2 and 16,711,068.5 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 33,422,137
-1 -33,422,137

Now, we try dividing 33,422,137 by 3:

33,422,137 ÷ 3 = 11,140,712.3333

If the quotient is a whole number, then 3 and 11,140,712.3333 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 33,422,137
-1 -33,422,137

Let's try dividing by 4:

33,422,137 ÷ 4 = 8,355,534.25

If the quotient is a whole number, then 4 and 8,355,534.25 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 33,422,137
-1 33,422,137
Keep dividing by the next highest number until you cannot divide anymore.

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

1737432593011,5913,00111,13721,007111,037129,043777,259903,3014,774,59133,422,137
-1-7-37-43-259-301-1,591-3,001-11,137-21,007-111,037-129,043-777,259-903,301-4,774,591-33,422,137

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,422,137:


Ask a Question