Q: What are the factor combinations of the number 120,053,219?

 A:
Positive:   1 x 12005321911 x 1091392913 x 923486379 x 1519661143 x 839533869 x 1381511027 x 11689710627 x 11297
Negative: -1 x -120053219-11 x -10913929-13 x -9234863-79 x -1519661-143 x -839533-869 x -138151-1027 x -116897-10627 x -11297


How do I find the factor combinations of the number 120,053,219?

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 120,053,219, 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.

1 120,053,219
-1 -120,053,219

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 120,053,219.

Example:
1 x 120,053,219 = 120,053,219
and
-1 x -120,053,219 = 120,053,219
Notice both answers equal 120,053,219

With that explanation out of the way, let's continue. Next, we take the number 120,053,219 and divide it by 2:

120,053,219 ÷ 2 = 60,026,609.5

If the quotient is a whole number, then 2 and 60,026,609.5 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:

1 120,053,219
-1 -120,053,219

Now, we try dividing 120,053,219 by 3:

120,053,219 ÷ 3 = 40,017,739.6667

If the quotient is a whole number, then 3 and 40,017,739.6667 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:

1 120,053,219
-1 -120,053,219

Let's try dividing by 4:

120,053,219 ÷ 4 = 30,013,304.75

If the quotient is a whole number, then 4 and 30,013,304.75 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:

1 120,053,219
-1 120,053,219
Keep dividing by the next highest number until you cannot divide anymore.

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

11113791438691,02710,62711,297116,897138,151839,5331,519,6619,234,86310,913,929120,053,219
-1-11-13-79-143-869-1,027-10,627-11,297-116,897-138,151-839,533-1,519,661-9,234,863-10,913,929-120,053,219

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 120,053,219:


Ask a Question