Q: What are the factor combinations of the number 124,340,045?

 A:
Positive:   1 x 1243400455 x 24868009191 x 650995955 x 130199
Negative: -1 x -124340045-5 x -24868009-191 x -650995-955 x -130199


How do I find the factor combinations of the number 124,340,045?

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 124,340,045, 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.

1 124,340,045
-1 -124,340,045

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 124,340,045.

Example:
1 x 124,340,045 = 124,340,045
and
-1 x -124,340,045 = 124,340,045
Notice both answers equal 124,340,045

With that explanation out of the way, let's continue. Next, we take the number 124,340,045 and divide it by 2:

124,340,045 ÷ 2 = 62,170,022.5

If the quotient is a whole number, then 2 and 62,170,022.5 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:

1 124,340,045
-1 -124,340,045

Now, we try dividing 124,340,045 by 3:

124,340,045 ÷ 3 = 41,446,681.6667

If the quotient is a whole number, then 3 and 41,446,681.6667 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:

1 124,340,045
-1 -124,340,045

Let's try dividing by 4:

124,340,045 ÷ 4 = 31,085,011.25

If the quotient is a whole number, then 4 and 31,085,011.25 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:

1 124,340,045
-1 124,340,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15191955130,199650,99524,868,009124,340,045
-1-5-191-955-130,199-650,995-24,868,009-124,340,045

More Examples

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