Q: What are the factor combinations of the number 163,234,417?

 A:
Positive:   1 x 16323441729 x 562877337 x 4411741149 x 10955331021 x 1598771073 x 1521294321 x 377775513 x 29609
Negative: -1 x -163234417-29 x -5628773-37 x -4411741-149 x -1095533-1021 x -159877-1073 x -152129-4321 x -37777-5513 x -29609


How do I find the factor combinations of the number 163,234,417?

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 163,234,417, 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.

1 163,234,417
-1 -163,234,417

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 163,234,417.

Example:
1 x 163,234,417 = 163,234,417
and
-1 x -163,234,417 = 163,234,417
Notice both answers equal 163,234,417

With that explanation out of the way, let's continue. Next, we take the number 163,234,417 and divide it by 2:

163,234,417 ÷ 2 = 81,617,208.5

If the quotient is a whole number, then 2 and 81,617,208.5 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:

1 163,234,417
-1 -163,234,417

Now, we try dividing 163,234,417 by 3:

163,234,417 ÷ 3 = 54,411,472.3333

If the quotient is a whole number, then 3 and 54,411,472.3333 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:

1 163,234,417
-1 -163,234,417

Let's try dividing by 4:

163,234,417 ÷ 4 = 40,808,604.25

If the quotient is a whole number, then 4 and 40,808,604.25 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:

1 163,234,417
-1 163,234,417
Keep dividing by the next highest number until you cannot divide anymore.

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

129371491,0211,0734,3215,51329,60937,777152,129159,8771,095,5334,411,7415,628,773163,234,417
-1-29-37-149-1,021-1,073-4,321-5,513-29,609-37,777-152,129-159,877-1,095,533-4,411,741-5,628,773-163,234,417

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