Q: What are the factor combinations of the number 120,143,045?

 A:
Positive:   1 x 1201430455 x 2402860911 x 1092209547 x 255623555 x 2184419235 x 511247517 x 2323852585 x 46477
Negative: -1 x -120143045-5 x -24028609-11 x -10922095-47 x -2556235-55 x -2184419-235 x -511247-517 x -232385-2585 x -46477


How do I find the factor combinations of the number 120,143,045?

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 120,143,045, 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.

1 120,143,045
-1 -120,143,045

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 120,143,045.

Example:
1 x 120,143,045 = 120,143,045
and
-1 x -120,143,045 = 120,143,045
Notice both answers equal 120,143,045

With that explanation out of the way, let's continue. Next, we take the number 120,143,045 and divide it by 2:

120,143,045 ÷ 2 = 60,071,522.5

If the quotient is a whole number, then 2 and 60,071,522.5 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:

1 120,143,045
-1 -120,143,045

Now, we try dividing 120,143,045 by 3:

120,143,045 ÷ 3 = 40,047,681.6667

If the quotient is a whole number, then 3 and 40,047,681.6667 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:

1 120,143,045
-1 -120,143,045

Let's try dividing by 4:

120,143,045 ÷ 4 = 30,035,761.25

If the quotient is a whole number, then 4 and 30,035,761.25 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:

1 120,143,045
-1 120,143,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151147552355172,58546,477232,385511,2472,184,4192,556,23510,922,09524,028,609120,143,045
-1-5-11-47-55-235-517-2,585-46,477-232,385-511,247-2,184,419-2,556,235-10,922,095-24,028,609-120,143,045

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