Q: What are the factor combinations of the number 15,162,221?

 A:
Positive:   1 x 1516222123 x 65922761 x 248561101 x 150121107 x 1417031403 x 108072323 x 65272461 x 6161
Negative: -1 x -15162221-23 x -659227-61 x -248561-101 x -150121-107 x -141703-1403 x -10807-2323 x -6527-2461 x -6161


How do I find the factor combinations of the number 15,162,221?

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 15,162,221, 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 15,162,221
-1 -15,162,221

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 15,162,221.

Example:
1 x 15,162,221 = 15,162,221
and
-1 x -15,162,221 = 15,162,221
Notice both answers equal 15,162,221

With that explanation out of the way, let's continue. Next, we take the number 15,162,221 and divide it by 2:

15,162,221 ÷ 2 = 7,581,110.5

If the quotient is a whole number, then 2 and 7,581,110.5 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 15,162,221
-1 -15,162,221

Now, we try dividing 15,162,221 by 3:

15,162,221 ÷ 3 = 5,054,073.6667

If the quotient is a whole number, then 3 and 5,054,073.6667 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 15,162,221
-1 -15,162,221

Let's try dividing by 4:

15,162,221 ÷ 4 = 3,790,555.25

If the quotient is a whole number, then 4 and 3,790,555.25 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 15,162,221
-1 15,162,221
Keep dividing by the next highest number until you cannot divide anymore.

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

123611011071,4032,3232,4616,1616,52710,807141,703150,121248,561659,22715,162,221
-1-23-61-101-107-1,403-2,323-2,461-6,161-6,527-10,807-141,703-150,121-248,561-659,227-15,162,221

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