Q: What are the factor combinations of the number 170,702,543?

 A:
Positive:   1 x 17070254311 x 1551841347 x 363196973 x 2338391517 x 330179803 x 2125813431 x 497534523 x 37741
Negative: -1 x -170702543-11 x -15518413-47 x -3631969-73 x -2338391-517 x -330179-803 x -212581-3431 x -49753-4523 x -37741


How do I find the factor combinations of the number 170,702,543?

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 170,702,543, 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.

1 170,702,543
-1 -170,702,543

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 170,702,543.

Example:
1 x 170,702,543 = 170,702,543
and
-1 x -170,702,543 = 170,702,543
Notice both answers equal 170,702,543

With that explanation out of the way, let's continue. Next, we take the number 170,702,543 and divide it by 2:

170,702,543 ÷ 2 = 85,351,271.5

If the quotient is a whole number, then 2 and 85,351,271.5 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:

1 170,702,543
-1 -170,702,543

Now, we try dividing 170,702,543 by 3:

170,702,543 ÷ 3 = 56,900,847.6667

If the quotient is a whole number, then 3 and 56,900,847.6667 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:

1 170,702,543
-1 -170,702,543

Let's try dividing by 4:

170,702,543 ÷ 4 = 42,675,635.75

If the quotient is a whole number, then 4 and 42,675,635.75 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:

1 170,702,543
-1 170,702,543
Keep dividing by the next highest number until you cannot divide anymore.

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

11147735178033,4314,52337,74149,753212,581330,1792,338,3913,631,96915,518,413170,702,543
-1-11-47-73-517-803-3,431-4,523-37,741-49,753-212,581-330,179-2,338,391-3,631,969-15,518,413-170,702,543

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