Q: What are the factor combinations of the number 17,421,845?

 A:
Positive:   1 x 174218455 x 34843697 x 248883531 x 56199535 x 497767155 x 112399217 x 802851085 x 16057
Negative: -1 x -17421845-5 x -3484369-7 x -2488835-31 x -561995-35 x -497767-155 x -112399-217 x -80285-1085 x -16057


How do I find the factor combinations of the number 17,421,845?

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 17,421,845, 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 17,421,845
-1 -17,421,845

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 17,421,845.

Example:
1 x 17,421,845 = 17,421,845
and
-1 x -17,421,845 = 17,421,845
Notice both answers equal 17,421,845

With that explanation out of the way, let's continue. Next, we take the number 17,421,845 and divide it by 2:

17,421,845 ÷ 2 = 8,710,922.5

If the quotient is a whole number, then 2 and 8,710,922.5 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 17,421,845
-1 -17,421,845

Now, we try dividing 17,421,845 by 3:

17,421,845 ÷ 3 = 5,807,281.6667

If the quotient is a whole number, then 3 and 5,807,281.6667 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 17,421,845
-1 -17,421,845

Let's try dividing by 4:

17,421,845 ÷ 4 = 4,355,461.25

If the quotient is a whole number, then 4 and 4,355,461.25 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 17,421,845
-1 17,421,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,08516,05780,285112,399497,767561,9952,488,8353,484,36917,421,845
-1-5-7-31-35-155-217-1,085-16,057-80,285-112,399-497,767-561,995-2,488,835-3,484,369-17,421,845

More Examples

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