Q: What are the factor combinations of the number 16,217,033?

 A:
Positive:   1 x 162170337 x 231671961 x 265853163 x 99491233 x 69601427 x 379791141 x 142131631 x 9943
Negative: -1 x -16217033-7 x -2316719-61 x -265853-163 x -99491-233 x -69601-427 x -37979-1141 x -14213-1631 x -9943


How do I find the factor combinations of the number 16,217,033?

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 16,217,033, 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 16,217,033
-1 -16,217,033

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 16,217,033.

Example:
1 x 16,217,033 = 16,217,033
and
-1 x -16,217,033 = 16,217,033
Notice both answers equal 16,217,033

With that explanation out of the way, let's continue. Next, we take the number 16,217,033 and divide it by 2:

16,217,033 ÷ 2 = 8,108,516.5

If the quotient is a whole number, then 2 and 8,108,516.5 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 16,217,033
-1 -16,217,033

Now, we try dividing 16,217,033 by 3:

16,217,033 ÷ 3 = 5,405,677.6667

If the quotient is a whole number, then 3 and 5,405,677.6667 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 16,217,033
-1 -16,217,033

Let's try dividing by 4:

16,217,033 ÷ 4 = 4,054,258.25

If the quotient is a whole number, then 4 and 4,054,258.25 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 16,217,033
-1 16,217,033
Keep dividing by the next highest number until you cannot divide anymore.

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

17611632334271,1411,6319,94314,21337,97969,60199,491265,8532,316,71916,217,033
-1-7-61-163-233-427-1,141-1,631-9,943-14,213-37,979-69,601-99,491-265,853-2,316,719-16,217,033

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