Q: What are the factor combinations of the number 60,949,885?

 A:
Positive:   1 x 609498855 x 1218997723 x 2649995115 x 529999
Negative: -1 x -60949885-5 x -12189977-23 x -2649995-115 x -529999


How do I find the factor combinations of the number 60,949,885?

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 60,949,885, 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 60,949,885
-1 -60,949,885

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 60,949,885.

Example:
1 x 60,949,885 = 60,949,885
and
-1 x -60,949,885 = 60,949,885
Notice both answers equal 60,949,885

With that explanation out of the way, let's continue. Next, we take the number 60,949,885 and divide it by 2:

60,949,885 ÷ 2 = 30,474,942.5

If the quotient is a whole number, then 2 and 30,474,942.5 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 60,949,885
-1 -60,949,885

Now, we try dividing 60,949,885 by 3:

60,949,885 ÷ 3 = 20,316,628.3333

If the quotient is a whole number, then 3 and 20,316,628.3333 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 60,949,885
-1 -60,949,885

Let's try dividing by 4:

60,949,885 ÷ 4 = 15,237,471.25

If the quotient is a whole number, then 4 and 15,237,471.25 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 60,949,885
-1 60,949,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1523115529,9992,649,99512,189,97760,949,885
-1-5-23-115-529,999-2,649,995-12,189,977-60,949,885

More Examples

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