Q: What are the factor combinations of the number 33,442,315?

 A:
Positive:   1 x 334423155 x 668846317 x 196719585 x 393439107 x 312545535 x 625091819 x 183853677 x 9095
Negative: -1 x -33442315-5 x -6688463-17 x -1967195-85 x -393439-107 x -312545-535 x -62509-1819 x -18385-3677 x -9095


How do I find the factor combinations of the number 33,442,315?

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 33,442,315, 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 33,442,315
-1 -33,442,315

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 33,442,315.

Example:
1 x 33,442,315 = 33,442,315
and
-1 x -33,442,315 = 33,442,315
Notice both answers equal 33,442,315

With that explanation out of the way, let's continue. Next, we take the number 33,442,315 and divide it by 2:

33,442,315 ÷ 2 = 16,721,157.5

If the quotient is a whole number, then 2 and 16,721,157.5 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 33,442,315
-1 -33,442,315

Now, we try dividing 33,442,315 by 3:

33,442,315 ÷ 3 = 11,147,438.3333

If the quotient is a whole number, then 3 and 11,147,438.3333 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 33,442,315
-1 -33,442,315

Let's try dividing by 4:

33,442,315 ÷ 4 = 8,360,578.75

If the quotient is a whole number, then 4 and 8,360,578.75 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 33,442,315
-1 33,442,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851075351,8193,6779,09518,38562,509312,545393,4391,967,1956,688,46333,442,315
-1-5-17-85-107-535-1,819-3,677-9,095-18,385-62,509-312,545-393,439-1,967,195-6,688,463-33,442,315

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