Q: What are the factor combinations of the number 16,822,015?

 A:
Positive:   1 x 168220155 x 33644037 x 240314535 x 480629239 x 703851195 x 140771673 x 100552011 x 8365
Negative: -1 x -16822015-5 x -3364403-7 x -2403145-35 x -480629-239 x -70385-1195 x -14077-1673 x -10055-2011 x -8365


How do I find the factor combinations of the number 16,822,015?

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 16,822,015, 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 16,822,015
-1 -16,822,015

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 16,822,015.

Example:
1 x 16,822,015 = 16,822,015
and
-1 x -16,822,015 = 16,822,015
Notice both answers equal 16,822,015

With that explanation out of the way, let's continue. Next, we take the number 16,822,015 and divide it by 2:

16,822,015 ÷ 2 = 8,411,007.5

If the quotient is a whole number, then 2 and 8,411,007.5 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 16,822,015
-1 -16,822,015

Now, we try dividing 16,822,015 by 3:

16,822,015 ÷ 3 = 5,607,338.3333

If the quotient is a whole number, then 3 and 5,607,338.3333 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 16,822,015
-1 -16,822,015

Let's try dividing by 4:

16,822,015 ÷ 4 = 4,205,503.75

If the quotient is a whole number, then 4 and 4,205,503.75 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 16,822,015
-1 16,822,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157352391,1951,6732,0118,36510,05514,07770,385480,6292,403,1453,364,40316,822,015
-1-5-7-35-239-1,195-1,673-2,011-8,365-10,055-14,077-70,385-480,629-2,403,145-3,364,403-16,822,015

More Examples

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