Q: What are the factor combinations of the number 17,147,273?

 A:
Positive:   1 x 1714727311 x 155884313 x 1319021121 x 141713143 x 119911991 x 173031331 x 128831573 x 10901
Negative: -1 x -17147273-11 x -1558843-13 x -1319021-121 x -141713-143 x -119911-991 x -17303-1331 x -12883-1573 x -10901


How do I find the factor combinations of the number 17,147,273?

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 17,147,273, 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 17,147,273
-1 -17,147,273

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 17,147,273.

Example:
1 x 17,147,273 = 17,147,273
and
-1 x -17,147,273 = 17,147,273
Notice both answers equal 17,147,273

With that explanation out of the way, let's continue. Next, we take the number 17,147,273 and divide it by 2:

17,147,273 ÷ 2 = 8,573,636.5

If the quotient is a whole number, then 2 and 8,573,636.5 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 17,147,273
-1 -17,147,273

Now, we try dividing 17,147,273 by 3:

17,147,273 ÷ 3 = 5,715,757.6667

If the quotient is a whole number, then 3 and 5,715,757.6667 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 17,147,273
-1 -17,147,273

Let's try dividing by 4:

17,147,273 ÷ 4 = 4,286,818.25

If the quotient is a whole number, then 4 and 4,286,818.25 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 17,147,273
-1 17,147,273
Keep dividing by the next highest number until you cannot divide anymore.

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

111131211439911,3311,57310,90112,88317,303119,911141,7131,319,0211,558,84317,147,273
-1-11-13-121-143-991-1,331-1,573-10,901-12,883-17,303-119,911-141,713-1,319,021-1,558,843-17,147,273

More Examples

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