Q: What are the factor combinations of the number 33,118,745?

 A:
Positive:   1 x 331187455 x 662374911 x 301079555 x 602159701 x 47245859 x 385553505 x 94494295 x 7711
Negative: -1 x -33118745-5 x -6623749-11 x -3010795-55 x -602159-701 x -47245-859 x -38555-3505 x -9449-4295 x -7711


How do I find the factor combinations of the number 33,118,745?

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 33,118,745, 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 33,118,745
-1 -33,118,745

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 33,118,745.

Example:
1 x 33,118,745 = 33,118,745
and
-1 x -33,118,745 = 33,118,745
Notice both answers equal 33,118,745

With that explanation out of the way, let's continue. Next, we take the number 33,118,745 and divide it by 2:

33,118,745 ÷ 2 = 16,559,372.5

If the quotient is a whole number, then 2 and 16,559,372.5 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 33,118,745
-1 -33,118,745

Now, we try dividing 33,118,745 by 3:

33,118,745 ÷ 3 = 11,039,581.6667

If the quotient is a whole number, then 3 and 11,039,581.6667 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 33,118,745
-1 -33,118,745

Let's try dividing by 4:

33,118,745 ÷ 4 = 8,279,686.25

If the quotient is a whole number, then 4 and 8,279,686.25 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 33,118,745
-1 33,118,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1511557018593,5054,2957,7119,44938,55547,245602,1593,010,7956,623,74933,118,745
-1-5-11-55-701-859-3,505-4,295-7,711-9,449-38,555-47,245-602,159-3,010,795-6,623,749-33,118,745

More Examples

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