Q: What are the factor combinations of the number 33,237,673?

 A:
Positive:   1 x 332376737 x 474823931 x 107218389 x 373457217 x 153169623 x 533511721 x 193132759 x 12047
Negative: -1 x -33237673-7 x -4748239-31 x -1072183-89 x -373457-217 x -153169-623 x -53351-1721 x -19313-2759 x -12047


How do I find the factor combinations of the number 33,237,673?

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 33,237,673, 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 33,237,673
-1 -33,237,673

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 33,237,673.

Example:
1 x 33,237,673 = 33,237,673
and
-1 x -33,237,673 = 33,237,673
Notice both answers equal 33,237,673

With that explanation out of the way, let's continue. Next, we take the number 33,237,673 and divide it by 2:

33,237,673 ÷ 2 = 16,618,836.5

If the quotient is a whole number, then 2 and 16,618,836.5 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 33,237,673
-1 -33,237,673

Now, we try dividing 33,237,673 by 3:

33,237,673 ÷ 3 = 11,079,224.3333

If the quotient is a whole number, then 3 and 11,079,224.3333 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 33,237,673
-1 -33,237,673

Let's try dividing by 4:

33,237,673 ÷ 4 = 8,309,418.25

If the quotient is a whole number, then 4 and 8,309,418.25 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 33,237,673
-1 33,237,673
Keep dividing by the next highest number until you cannot divide anymore.

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

1731892176231,7212,75912,04719,31353,351153,169373,4571,072,1834,748,23933,237,673
-1-7-31-89-217-623-1,721-2,759-12,047-19,313-53,351-153,169-373,457-1,072,183-4,748,239-33,237,673

More Examples

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