Q: What are the factor combinations of the number 16,901,717?

 A:
Positive:   1 x 169017177 x 241453141 x 41223747 x 35961149 x 344933179 x 94423287 x 58891329 x 513731253 x 134891927 x 87712009 x 84132303 x 7339
Negative: -1 x -16901717-7 x -2414531-41 x -412237-47 x -359611-49 x -344933-179 x -94423-287 x -58891-329 x -51373-1253 x -13489-1927 x -8771-2009 x -8413-2303 x -7339


How do I find the factor combinations of the number 16,901,717?

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 16,901,717, 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 16,901,717
-1 -16,901,717

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 16,901,717.

Example:
1 x 16,901,717 = 16,901,717
and
-1 x -16,901,717 = 16,901,717
Notice both answers equal 16,901,717

With that explanation out of the way, let's continue. Next, we take the number 16,901,717 and divide it by 2:

16,901,717 ÷ 2 = 8,450,858.5

If the quotient is a whole number, then 2 and 8,450,858.5 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 16,901,717
-1 -16,901,717

Now, we try dividing 16,901,717 by 3:

16,901,717 ÷ 3 = 5,633,905.6667

If the quotient is a whole number, then 3 and 5,633,905.6667 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 16,901,717
-1 -16,901,717

Let's try dividing by 4:

16,901,717 ÷ 4 = 4,225,429.25

If the quotient is a whole number, then 4 and 4,225,429.25 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 16,901,717
-1 16,901,717
Keep dividing by the next highest number until you cannot divide anymore.

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

174147491792873291,2531,9272,0092,3037,3398,4138,77113,48951,37358,89194,423344,933359,611412,2372,414,53116,901,717
-1-7-41-47-49-179-287-329-1,253-1,927-2,009-2,303-7,339-8,413-8,771-13,489-51,373-58,891-94,423-344,933-359,611-412,237-2,414,531-16,901,717

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