Q: What are the factor combinations of the number 170,536,741?

 A:
Positive:   1 x 17053674117 x 10031573211 x 8082313587 x 47543
Negative: -1 x -170536741-17 x -10031573-211 x -808231-3587 x -47543


How do I find the factor combinations of the number 170,536,741?

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 170,536,741, 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.

1 170,536,741
-1 -170,536,741

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 170,536,741.

Example:
1 x 170,536,741 = 170,536,741
and
-1 x -170,536,741 = 170,536,741
Notice both answers equal 170,536,741

With that explanation out of the way, let's continue. Next, we take the number 170,536,741 and divide it by 2:

170,536,741 ÷ 2 = 85,268,370.5

If the quotient is a whole number, then 2 and 85,268,370.5 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:

1 170,536,741
-1 -170,536,741

Now, we try dividing 170,536,741 by 3:

170,536,741 ÷ 3 = 56,845,580.3333

If the quotient is a whole number, then 3 and 56,845,580.3333 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:

1 170,536,741
-1 -170,536,741

Let's try dividing by 4:

170,536,741 ÷ 4 = 42,634,185.25

If the quotient is a whole number, then 4 and 42,634,185.25 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:

1 170,536,741
-1 170,536,741
Keep dividing by the next highest number until you cannot divide anymore.

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

1172113,58747,543808,23110,031,573170,536,741
-1-17-211-3,587-47,543-808,231-10,031,573-170,536,741

More Examples

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