Q: What are the factor combinations of the number 15,456,221?

 A:
Positive:   1 x 1545622111 x 140511141 x 37698143 x 359447451 x 34271473 x 32677797 x 193931763 x 8767
Negative: -1 x -15456221-11 x -1405111-41 x -376981-43 x -359447-451 x -34271-473 x -32677-797 x -19393-1763 x -8767


How do I find the factor combinations of the number 15,456,221?

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 15,456,221, 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 15,456,221
-1 -15,456,221

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 15,456,221.

Example:
1 x 15,456,221 = 15,456,221
and
-1 x -15,456,221 = 15,456,221
Notice both answers equal 15,456,221

With that explanation out of the way, let's continue. Next, we take the number 15,456,221 and divide it by 2:

15,456,221 ÷ 2 = 7,728,110.5

If the quotient is a whole number, then 2 and 7,728,110.5 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 15,456,221
-1 -15,456,221

Now, we try dividing 15,456,221 by 3:

15,456,221 ÷ 3 = 5,152,073.6667

If the quotient is a whole number, then 3 and 5,152,073.6667 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 15,456,221
-1 -15,456,221

Let's try dividing by 4:

15,456,221 ÷ 4 = 3,864,055.25

If the quotient is a whole number, then 4 and 3,864,055.25 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 15,456,221
-1 15,456,221
Keep dividing by the next highest number until you cannot divide anymore.

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

11141434514737971,7638,76719,39332,67734,271359,447376,9811,405,11115,456,221
-1-11-41-43-451-473-797-1,763-8,767-19,393-32,677-34,271-359,447-376,981-1,405,111-15,456,221

More Examples

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