Q: What are the factor combinations of the number 120,844,685?

 A:
Positive:   1 x 1208446855 x 2416893713 x 929574559 x 204821565 x 1859149295 x 409643767 x 1575553835 x 31511
Negative: -1 x -120844685-5 x -24168937-13 x -9295745-59 x -2048215-65 x -1859149-295 x -409643-767 x -157555-3835 x -31511


How do I find the factor combinations of the number 120,844,685?

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 120,844,685, 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.

1 120,844,685
-1 -120,844,685

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 120,844,685.

Example:
1 x 120,844,685 = 120,844,685
and
-1 x -120,844,685 = 120,844,685
Notice both answers equal 120,844,685

With that explanation out of the way, let's continue. Next, we take the number 120,844,685 and divide it by 2:

120,844,685 ÷ 2 = 60,422,342.5

If the quotient is a whole number, then 2 and 60,422,342.5 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:

1 120,844,685
-1 -120,844,685

Now, we try dividing 120,844,685 by 3:

120,844,685 ÷ 3 = 40,281,561.6667

If the quotient is a whole number, then 3 and 40,281,561.6667 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:

1 120,844,685
-1 -120,844,685

Let's try dividing by 4:

120,844,685 ÷ 4 = 30,211,171.25

If the quotient is a whole number, then 4 and 30,211,171.25 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:

1 120,844,685
-1 120,844,685
Keep dividing by the next highest number until you cannot divide anymore.

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

151359652957673,83531,511157,555409,6431,859,1492,048,2159,295,74524,168,937120,844,685
-1-5-13-59-65-295-767-3,835-31,511-157,555-409,643-1,859,149-2,048,215-9,295,745-24,168,937-120,844,685

More Examples

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