Q: What are the factor combinations of the number 33,442,465?

 A:
Positive:   1 x 334424655 x 66884937 x 477749535 x 955499181 x 184765905 x 369531267 x 263955279 x 6335
Negative: -1 x -33442465-5 x -6688493-7 x -4777495-35 x -955499-181 x -184765-905 x -36953-1267 x -26395-5279 x -6335


How do I find the factor combinations of the number 33,442,465?

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 33,442,465, 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 33,442,465
-1 -33,442,465

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 33,442,465.

Example:
1 x 33,442,465 = 33,442,465
and
-1 x -33,442,465 = 33,442,465
Notice both answers equal 33,442,465

With that explanation out of the way, let's continue. Next, we take the number 33,442,465 and divide it by 2:

33,442,465 ÷ 2 = 16,721,232.5

If the quotient is a whole number, then 2 and 16,721,232.5 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 33,442,465
-1 -33,442,465

Now, we try dividing 33,442,465 by 3:

33,442,465 ÷ 3 = 11,147,488.3333

If the quotient is a whole number, then 3 and 11,147,488.3333 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 33,442,465
-1 -33,442,465

Let's try dividing by 4:

33,442,465 ÷ 4 = 8,360,616.25

If the quotient is a whole number, then 4 and 8,360,616.25 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 33,442,465
-1 33,442,465
Keep dividing by the next highest number until you cannot divide anymore.

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

157351819051,2675,2796,33526,39536,953184,765955,4994,777,4956,688,49333,442,465
-1-5-7-35-181-905-1,267-5,279-6,335-26,395-36,953-184,765-955,499-4,777,495-6,688,493-33,442,465

More Examples

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