Q: What are the factor combinations of the number 148,494,007?

 A:
Positive:   1 x 14849400729 x 512048343 x 3453349193 x 769399617 x 2406711247 x 1190815597 x 265318299 x 17893
Negative: -1 x -148494007-29 x -5120483-43 x -3453349-193 x -769399-617 x -240671-1247 x -119081-5597 x -26531-8299 x -17893


How do I find the factor combinations of the number 148,494,007?

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 148,494,007, 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.

1 148,494,007
-1 -148,494,007

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 148,494,007.

Example:
1 x 148,494,007 = 148,494,007
and
-1 x -148,494,007 = 148,494,007
Notice both answers equal 148,494,007

With that explanation out of the way, let's continue. Next, we take the number 148,494,007 and divide it by 2:

148,494,007 ÷ 2 = 74,247,003.5

If the quotient is a whole number, then 2 and 74,247,003.5 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:

1 148,494,007
-1 -148,494,007

Now, we try dividing 148,494,007 by 3:

148,494,007 ÷ 3 = 49,498,002.3333

If the quotient is a whole number, then 3 and 49,498,002.3333 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:

1 148,494,007
-1 -148,494,007

Let's try dividing by 4:

148,494,007 ÷ 4 = 37,123,501.75

If the quotient is a whole number, then 4 and 37,123,501.75 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:

1 148,494,007
-1 148,494,007
Keep dividing by the next highest number until you cannot divide anymore.

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

129431936171,2475,5978,29917,89326,531119,081240,671769,3993,453,3495,120,483148,494,007
-1-29-43-193-617-1,247-5,597-8,299-17,893-26,531-119,081-240,671-769,399-3,453,349-5,120,483-148,494,007

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 148,494,007:


Ask a Question