Q: What are the factor combinations of the number 33,070,807?

 A:
Positive:   1 x 330708077 x 472440111 x 300643777 x 429491311 x 1063371381 x 239472177 x 151913421 x 9667
Negative: -1 x -33070807-7 x -4724401-11 x -3006437-77 x -429491-311 x -106337-1381 x -23947-2177 x -15191-3421 x -9667


How do I find the factor combinations of the number 33,070,807?

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 33,070,807, 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 33,070,807
-1 -33,070,807

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 33,070,807.

Example:
1 x 33,070,807 = 33,070,807
and
-1 x -33,070,807 = 33,070,807
Notice both answers equal 33,070,807

With that explanation out of the way, let's continue. Next, we take the number 33,070,807 and divide it by 2:

33,070,807 ÷ 2 = 16,535,403.5

If the quotient is a whole number, then 2 and 16,535,403.5 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 33,070,807
-1 -33,070,807

Now, we try dividing 33,070,807 by 3:

33,070,807 ÷ 3 = 11,023,602.3333

If the quotient is a whole number, then 3 and 11,023,602.3333 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 33,070,807
-1 -33,070,807

Let's try dividing by 4:

33,070,807 ÷ 4 = 8,267,701.75

If the quotient is a whole number, then 4 and 8,267,701.75 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 33,070,807
-1 33,070,807
Keep dividing by the next highest number until you cannot divide anymore.

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

1711773111,3812,1773,4219,66715,19123,947106,337429,4913,006,4374,724,40133,070,807
-1-7-11-77-311-1,381-2,177-3,421-9,667-15,191-23,947-106,337-429,491-3,006,437-4,724,401-33,070,807

More Examples

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