Q: What are the factor combinations of the number 122,003,203?

 A:
Positive:   1 x 1220032037 x 1742902917 x 717665929 x 4207007119 x 1025237203 x 601001493 x 2474713451 x 35353
Negative: -1 x -122003203-7 x -17429029-17 x -7176659-29 x -4207007-119 x -1025237-203 x -601001-493 x -247471-3451 x -35353


How do I find the factor combinations of the number 122,003,203?

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 122,003,203, 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.

1 122,003,203
-1 -122,003,203

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 122,003,203.

Example:
1 x 122,003,203 = 122,003,203
and
-1 x -122,003,203 = 122,003,203
Notice both answers equal 122,003,203

With that explanation out of the way, let's continue. Next, we take the number 122,003,203 and divide it by 2:

122,003,203 ÷ 2 = 61,001,601.5

If the quotient is a whole number, then 2 and 61,001,601.5 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:

1 122,003,203
-1 -122,003,203

Now, we try dividing 122,003,203 by 3:

122,003,203 ÷ 3 = 40,667,734.3333

If the quotient is a whole number, then 3 and 40,667,734.3333 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:

1 122,003,203
-1 -122,003,203

Let's try dividing by 4:

122,003,203 ÷ 4 = 30,500,800.75

If the quotient is a whole number, then 4 and 30,500,800.75 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:

1 122,003,203
-1 122,003,203
Keep dividing by the next highest number until you cannot divide anymore.

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

1717291192034933,45135,353247,471601,0011,025,2374,207,0077,176,65917,429,029122,003,203
-1-7-17-29-119-203-493-3,451-35,353-247,471-601,001-1,025,237-4,207,007-7,176,659-17,429,029-122,003,203

More Examples

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