Q: What are the factor combinations of the number 67,373,735?

 A:
Positive:   1 x 673737355 x 1347474711 x 612488513 x 518259555 x 122497765 x 1036519143 x 471145715 x 94229
Negative: -1 x -67373735-5 x -13474747-11 x -6124885-13 x -5182595-55 x -1224977-65 x -1036519-143 x -471145-715 x -94229


How do I find the factor combinations of the number 67,373,735?

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 67,373,735, 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 67,373,735
-1 -67,373,735

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 67,373,735.

Example:
1 x 67,373,735 = 67,373,735
and
-1 x -67,373,735 = 67,373,735
Notice both answers equal 67,373,735

With that explanation out of the way, let's continue. Next, we take the number 67,373,735 and divide it by 2:

67,373,735 ÷ 2 = 33,686,867.5

If the quotient is a whole number, then 2 and 33,686,867.5 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 67,373,735
-1 -67,373,735

Now, we try dividing 67,373,735 by 3:

67,373,735 ÷ 3 = 22,457,911.6667

If the quotient is a whole number, then 3 and 22,457,911.6667 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 67,373,735
-1 -67,373,735

Let's try dividing by 4:

67,373,735 ÷ 4 = 16,843,433.75

If the quotient is a whole number, then 4 and 16,843,433.75 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 67,373,735
-1 67,373,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371594,229471,1451,036,5191,224,9775,182,5956,124,88513,474,74767,373,735
-1-5-11-13-55-65-143-715-94,229-471,145-1,036,519-1,224,977-5,182,595-6,124,885-13,474,747-67,373,735

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 67,373,735:


Ask a Question