Q: What are the factor combinations of the number 22,225,555?

 A:
Positive:   1 x 222255555 x 444511111 x 202050555 x 404101101 x 220055505 x 440111111 x 200054001 x 5555
Negative: -1 x -22225555-5 x -4445111-11 x -2020505-55 x -404101-101 x -220055-505 x -44011-1111 x -20005-4001 x -5555


How do I find the factor combinations of the number 22,225,555?

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 22,225,555, 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 22,225,555
-1 -22,225,555

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 22,225,555.

Example:
1 x 22,225,555 = 22,225,555
and
-1 x -22,225,555 = 22,225,555
Notice both answers equal 22,225,555

With that explanation out of the way, let's continue. Next, we take the number 22,225,555 and divide it by 2:

22,225,555 ÷ 2 = 11,112,777.5

If the quotient is a whole number, then 2 and 11,112,777.5 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 22,225,555
-1 -22,225,555

Now, we try dividing 22,225,555 by 3:

22,225,555 ÷ 3 = 7,408,518.3333

If the quotient is a whole number, then 3 and 7,408,518.3333 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 22,225,555
-1 -22,225,555

Let's try dividing by 4:

22,225,555 ÷ 4 = 5,556,388.75

If the quotient is a whole number, then 4 and 5,556,388.75 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 22,225,555
-1 22,225,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551015051,1114,0015,55520,00544,011220,055404,1012,020,5054,445,11122,225,555
-1-5-11-55-101-505-1,111-4,001-5,555-20,005-44,011-220,055-404,101-2,020,505-4,445,111-22,225,555

More Examples

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