Q: What are the factor combinations of the number 60,189,157?

 A:
Positive:   1 x 601891577 x 859845173 x 824509511 x 117787
Negative: -1 x -60189157-7 x -8598451-73 x -824509-511 x -117787


How do I find the factor combinations of the number 60,189,157?

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 60,189,157, 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 60,189,157
-1 -60,189,157

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 60,189,157.

Example:
1 x 60,189,157 = 60,189,157
and
-1 x -60,189,157 = 60,189,157
Notice both answers equal 60,189,157

With that explanation out of the way, let's continue. Next, we take the number 60,189,157 and divide it by 2:

60,189,157 ÷ 2 = 30,094,578.5

If the quotient is a whole number, then 2 and 30,094,578.5 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 60,189,157
-1 -60,189,157

Now, we try dividing 60,189,157 by 3:

60,189,157 ÷ 3 = 20,063,052.3333

If the quotient is a whole number, then 3 and 20,063,052.3333 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 60,189,157
-1 -60,189,157

Let's try dividing by 4:

60,189,157 ÷ 4 = 15,047,289.25

If the quotient is a whole number, then 4 and 15,047,289.25 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 60,189,157
-1 60,189,157
Keep dividing by the next highest number until you cannot divide anymore.

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

1773511117,787824,5098,598,45160,189,157
-1-7-73-511-117,787-824,509-8,598,451-60,189,157

More Examples

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