Q: What are the factor combinations of the number 24,222,235?

 A:
Positive:   1 x 242222355 x 484444737 x 654655185 x 130931311 x 77885421 x 575351555 x 155772105 x 11507
Negative: -1 x -24222235-5 x -4844447-37 x -654655-185 x -130931-311 x -77885-421 x -57535-1555 x -15577-2105 x -11507


How do I find the factor combinations of the number 24,222,235?

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 24,222,235, 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 24,222,235
-1 -24,222,235

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 24,222,235.

Example:
1 x 24,222,235 = 24,222,235
and
-1 x -24,222,235 = 24,222,235
Notice both answers equal 24,222,235

With that explanation out of the way, let's continue. Next, we take the number 24,222,235 and divide it by 2:

24,222,235 ÷ 2 = 12,111,117.5

If the quotient is a whole number, then 2 and 12,111,117.5 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 24,222,235
-1 -24,222,235

Now, we try dividing 24,222,235 by 3:

24,222,235 ÷ 3 = 8,074,078.3333

If the quotient is a whole number, then 3 and 8,074,078.3333 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 24,222,235
-1 -24,222,235

Let's try dividing by 4:

24,222,235 ÷ 4 = 6,055,558.75

If the quotient is a whole number, then 4 and 6,055,558.75 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 24,222,235
-1 24,222,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15371853114211,5552,10511,50715,57757,53577,885130,931654,6554,844,44724,222,235
-1-5-37-185-311-421-1,555-2,105-11,507-15,577-57,535-77,885-130,931-654,655-4,844,447-24,222,235

More Examples

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