Q: What are the factor combinations of the number 15,222,355?

 A:
Positive:   1 x 152223555 x 304447137 x 411415107 x 142265185 x 82283535 x 28453769 x 197953845 x 3959
Negative: -1 x -15222355-5 x -3044471-37 x -411415-107 x -142265-185 x -82283-535 x -28453-769 x -19795-3845 x -3959


How do I find the factor combinations of the number 15,222,355?

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 15,222,355, 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 15,222,355
-1 -15,222,355

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 15,222,355.

Example:
1 x 15,222,355 = 15,222,355
and
-1 x -15,222,355 = 15,222,355
Notice both answers equal 15,222,355

With that explanation out of the way, let's continue. Next, we take the number 15,222,355 and divide it by 2:

15,222,355 ÷ 2 = 7,611,177.5

If the quotient is a whole number, then 2 and 7,611,177.5 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 15,222,355
-1 -15,222,355

Now, we try dividing 15,222,355 by 3:

15,222,355 ÷ 3 = 5,074,118.3333

If the quotient is a whole number, then 3 and 5,074,118.3333 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 15,222,355
-1 -15,222,355

Let's try dividing by 4:

15,222,355 ÷ 4 = 3,805,588.75

If the quotient is a whole number, then 4 and 3,805,588.75 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 15,222,355
-1 15,222,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15371071855357693,8453,95919,79528,45382,283142,265411,4153,044,47115,222,355
-1-5-37-107-185-535-769-3,845-3,959-19,795-28,453-82,283-142,265-411,415-3,044,471-15,222,355

More Examples

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