Q: What are the factor combinations of the number 168,928,265?

 A:
Positive:   1 x 1689282655 x 3378565311 x 1535711555 x 3071423367 x 4602951835 x 920594037 x 418458369 x 20185
Negative: -1 x -168928265-5 x -33785653-11 x -15357115-55 x -3071423-367 x -460295-1835 x -92059-4037 x -41845-8369 x -20185


How do I find the factor combinations of the number 168,928,265?

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 168,928,265, 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.

1 168,928,265
-1 -168,928,265

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 168,928,265.

Example:
1 x 168,928,265 = 168,928,265
and
-1 x -168,928,265 = 168,928,265
Notice both answers equal 168,928,265

With that explanation out of the way, let's continue. Next, we take the number 168,928,265 and divide it by 2:

168,928,265 ÷ 2 = 84,464,132.5

If the quotient is a whole number, then 2 and 84,464,132.5 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:

1 168,928,265
-1 -168,928,265

Now, we try dividing 168,928,265 by 3:

168,928,265 ÷ 3 = 56,309,421.6667

If the quotient is a whole number, then 3 and 56,309,421.6667 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:

1 168,928,265
-1 -168,928,265

Let's try dividing by 4:

168,928,265 ÷ 4 = 42,232,066.25

If the quotient is a whole number, then 4 and 42,232,066.25 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:

1 168,928,265
-1 168,928,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553671,8354,0378,36920,18541,84592,059460,2953,071,42315,357,11533,785,653168,928,265
-1-5-11-55-367-1,835-4,037-8,369-20,185-41,845-92,059-460,295-3,071,423-15,357,115-33,785,653-168,928,265

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