Q: What are the factor combinations of the number 146,874,079?

 A:
Positive:   1 x 14687407911 x 1335218971 x 2068649181 x 811459781 x 1880591039 x 1413611991 x 7376911429 x 12851
Negative: -1 x -146874079-11 x -13352189-71 x -2068649-181 x -811459-781 x -188059-1039 x -141361-1991 x -73769-11429 x -12851


How do I find the factor combinations of the number 146,874,079?

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 146,874,079, 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.

1 146,874,079
-1 -146,874,079

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 146,874,079.

Example:
1 x 146,874,079 = 146,874,079
and
-1 x -146,874,079 = 146,874,079
Notice both answers equal 146,874,079

With that explanation out of the way, let's continue. Next, we take the number 146,874,079 and divide it by 2:

146,874,079 ÷ 2 = 73,437,039.5

If the quotient is a whole number, then 2 and 73,437,039.5 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:

1 146,874,079
-1 -146,874,079

Now, we try dividing 146,874,079 by 3:

146,874,079 ÷ 3 = 48,958,026.3333

If the quotient is a whole number, then 3 and 48,958,026.3333 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:

1 146,874,079
-1 -146,874,079

Let's try dividing by 4:

146,874,079 ÷ 4 = 36,718,519.75

If the quotient is a whole number, then 4 and 36,718,519.75 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:

1 146,874,079
-1 146,874,079
Keep dividing by the next highest number until you cannot divide anymore.

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

111711817811,0391,99111,42912,85173,769141,361188,059811,4592,068,64913,352,189146,874,079
-1-11-71-181-781-1,039-1,991-11,429-12,851-73,769-141,361-188,059-811,459-2,068,649-13,352,189-146,874,079

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 146,874,079:


Ask a Question