Q: What are the factor combinations of the number 60,271,123?

 A:
Positive:   1 x 6027112311 x 547919353 x 113719167 x 899569583 x 103381737 x 817791543 x 390613551 x 16973
Negative: -1 x -60271123-11 x -5479193-53 x -1137191-67 x -899569-583 x -103381-737 x -81779-1543 x -39061-3551 x -16973


How do I find the factor combinations of the number 60,271,123?

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 60,271,123, 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 60,271,123
-1 -60,271,123

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 60,271,123.

Example:
1 x 60,271,123 = 60,271,123
and
-1 x -60,271,123 = 60,271,123
Notice both answers equal 60,271,123

With that explanation out of the way, let's continue. Next, we take the number 60,271,123 and divide it by 2:

60,271,123 ÷ 2 = 30,135,561.5

If the quotient is a whole number, then 2 and 30,135,561.5 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 60,271,123
-1 -60,271,123

Now, we try dividing 60,271,123 by 3:

60,271,123 ÷ 3 = 20,090,374.3333

If the quotient is a whole number, then 3 and 20,090,374.3333 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 60,271,123
-1 -60,271,123

Let's try dividing by 4:

60,271,123 ÷ 4 = 15,067,780.75

If the quotient is a whole number, then 4 and 15,067,780.75 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 60,271,123
-1 60,271,123
Keep dividing by the next highest number until you cannot divide anymore.

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

11153675837371,5433,55116,97339,06181,779103,381899,5691,137,1915,479,19360,271,123
-1-11-53-67-583-737-1,543-3,551-16,973-39,061-81,779-103,381-899,569-1,137,191-5,479,193-60,271,123

More Examples

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