Q: What are the factor combinations of the number 147,146,135?

 A:
Positive:   1 x 1471461355 x 2942922717 x 865565583 x 177284585 x 1731131415 x 3545691411 x 1042857055 x 20857
Negative: -1 x -147146135-5 x -29429227-17 x -8655655-83 x -1772845-85 x -1731131-415 x -354569-1411 x -104285-7055 x -20857


How do I find the factor combinations of the number 147,146,135?

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 147,146,135, 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.

1 147,146,135
-1 -147,146,135

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 147,146,135.

Example:
1 x 147,146,135 = 147,146,135
and
-1 x -147,146,135 = 147,146,135
Notice both answers equal 147,146,135

With that explanation out of the way, let's continue. Next, we take the number 147,146,135 and divide it by 2:

147,146,135 ÷ 2 = 73,573,067.5

If the quotient is a whole number, then 2 and 73,573,067.5 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:

1 147,146,135
-1 -147,146,135

Now, we try dividing 147,146,135 by 3:

147,146,135 ÷ 3 = 49,048,711.6667

If the quotient is a whole number, then 3 and 49,048,711.6667 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:

1 147,146,135
-1 -147,146,135

Let's try dividing by 4:

147,146,135 ÷ 4 = 36,786,533.75

If the quotient is a whole number, then 4 and 36,786,533.75 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:

1 147,146,135
-1 147,146,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151783854151,4117,05520,857104,285354,5691,731,1311,772,8458,655,65529,429,227147,146,135
-1-5-17-83-85-415-1,411-7,055-20,857-104,285-354,569-1,731,131-1,772,845-8,655,655-29,429,227-147,146,135

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 147,146,135:


Ask a Question