Q: What are the factor combinations of the number 77,370,005?

 A:
Positive:   1 x 773700055 x 15474001523 x 1479352615 x 29587
Negative: -1 x -77370005-5 x -15474001-523 x -147935-2615 x -29587


How do I find the factor combinations of the number 77,370,005?

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 77,370,005, 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 77,370,005
-1 -77,370,005

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 77,370,005.

Example:
1 x 77,370,005 = 77,370,005
and
-1 x -77,370,005 = 77,370,005
Notice both answers equal 77,370,005

With that explanation out of the way, let's continue. Next, we take the number 77,370,005 and divide it by 2:

77,370,005 ÷ 2 = 38,685,002.5

If the quotient is a whole number, then 2 and 38,685,002.5 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 77,370,005
-1 -77,370,005

Now, we try dividing 77,370,005 by 3:

77,370,005 ÷ 3 = 25,790,001.6667

If the quotient is a whole number, then 3 and 25,790,001.6667 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 77,370,005
-1 -77,370,005

Let's try dividing by 4:

77,370,005 ÷ 4 = 19,342,501.25

If the quotient is a whole number, then 4 and 19,342,501.25 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 77,370,005
-1 77,370,005
Keep dividing by the next highest number until you cannot divide anymore.

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

155232,61529,587147,93515,474,00177,370,005
-1-5-523-2,615-29,587-147,935-15,474,001-77,370,005

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 77,370,005:


Ask a Question