Q: What are the factor combinations of the number 17,705,743?

 A:
Positive:   1 x 1770574311 x 160961331 x 571153137 x 129239341 x 51923379 x 467171507 x 117494169 x 4247
Negative: -1 x -17705743-11 x -1609613-31 x -571153-137 x -129239-341 x -51923-379 x -46717-1507 x -11749-4169 x -4247


How do I find the factor combinations of the number 17,705,743?

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 17,705,743, 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 17,705,743
-1 -17,705,743

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 17,705,743.

Example:
1 x 17,705,743 = 17,705,743
and
-1 x -17,705,743 = 17,705,743
Notice both answers equal 17,705,743

With that explanation out of the way, let's continue. Next, we take the number 17,705,743 and divide it by 2:

17,705,743 ÷ 2 = 8,852,871.5

If the quotient is a whole number, then 2 and 8,852,871.5 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 17,705,743
-1 -17,705,743

Now, we try dividing 17,705,743 by 3:

17,705,743 ÷ 3 = 5,901,914.3333

If the quotient is a whole number, then 3 and 5,901,914.3333 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 17,705,743
-1 -17,705,743

Let's try dividing by 4:

17,705,743 ÷ 4 = 4,426,435.75

If the quotient is a whole number, then 4 and 4,426,435.75 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 17,705,743
-1 17,705,743
Keep dividing by the next highest number until you cannot divide anymore.

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

111311373413791,5074,1694,24711,74946,71751,923129,239571,1531,609,61317,705,743
-1-11-31-137-341-379-1,507-4,169-4,247-11,749-46,717-51,923-129,239-571,153-1,609,613-17,705,743

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