Q: What are the factor combinations of the number 22,024,345?

 A:
Positive:   1 x 220243455 x 44048697 x 314633535 x 629267107 x 205835535 x 41167749 x 294053745 x 5881
Negative: -1 x -22024345-5 x -4404869-7 x -3146335-35 x -629267-107 x -205835-535 x -41167-749 x -29405-3745 x -5881


How do I find the factor combinations of the number 22,024,345?

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 22,024,345, 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 22,024,345
-1 -22,024,345

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 22,024,345.

Example:
1 x 22,024,345 = 22,024,345
and
-1 x -22,024,345 = 22,024,345
Notice both answers equal 22,024,345

With that explanation out of the way, let's continue. Next, we take the number 22,024,345 and divide it by 2:

22,024,345 ÷ 2 = 11,012,172.5

If the quotient is a whole number, then 2 and 11,012,172.5 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 22,024,345
-1 -22,024,345

Now, we try dividing 22,024,345 by 3:

22,024,345 ÷ 3 = 7,341,448.3333

If the quotient is a whole number, then 3 and 7,341,448.3333 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 22,024,345
-1 -22,024,345

Let's try dividing by 4:

22,024,345 ÷ 4 = 5,506,086.25

If the quotient is a whole number, then 4 and 5,506,086.25 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 22,024,345
-1 22,024,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157351075357493,7455,88129,40541,167205,835629,2673,146,3354,404,86922,024,345
-1-5-7-35-107-535-749-3,745-5,881-29,405-41,167-205,835-629,267-3,146,335-4,404,869-22,024,345

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