Q: What are the factor combinations of the number 60,221,203?

 A:
Positive:   1 x 602212037 x 860302919 x 3169537113 x 532931133 x 452791791 x 761332147 x 280494007 x 15029
Negative: -1 x -60221203-7 x -8603029-19 x -3169537-113 x -532931-133 x -452791-791 x -76133-2147 x -28049-4007 x -15029


How do I find the factor combinations of the number 60,221,203?

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 60,221,203, 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 60,221,203
-1 -60,221,203

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 60,221,203.

Example:
1 x 60,221,203 = 60,221,203
and
-1 x -60,221,203 = 60,221,203
Notice both answers equal 60,221,203

With that explanation out of the way, let's continue. Next, we take the number 60,221,203 and divide it by 2:

60,221,203 ÷ 2 = 30,110,601.5

If the quotient is a whole number, then 2 and 30,110,601.5 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 60,221,203
-1 -60,221,203

Now, we try dividing 60,221,203 by 3:

60,221,203 ÷ 3 = 20,073,734.3333

If the quotient is a whole number, then 3 and 20,073,734.3333 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 60,221,203
-1 -60,221,203

Let's try dividing by 4:

60,221,203 ÷ 4 = 15,055,300.75

If the quotient is a whole number, then 4 and 15,055,300.75 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 60,221,203
-1 60,221,203
Keep dividing by the next highest number until you cannot divide anymore.

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

17191131337912,1474,00715,02928,04976,133452,791532,9313,169,5378,603,02960,221,203
-1-7-19-113-133-791-2,147-4,007-15,029-28,049-76,133-452,791-532,931-3,169,537-8,603,029-60,221,203

More Examples

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