Q: What are the factor combinations of the number 124,042,115?

 A:
Positive:   1 x 1240421155 x 2480842317 x 729659585 x 1459319
Negative: -1 x -124042115-5 x -24808423-17 x -7296595-85 x -1459319


How do I find the factor combinations of the number 124,042,115?

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 124,042,115, 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.

1 124,042,115
-1 -124,042,115

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 124,042,115.

Example:
1 x 124,042,115 = 124,042,115
and
-1 x -124,042,115 = 124,042,115
Notice both answers equal 124,042,115

With that explanation out of the way, let's continue. Next, we take the number 124,042,115 and divide it by 2:

124,042,115 ÷ 2 = 62,021,057.5

If the quotient is a whole number, then 2 and 62,021,057.5 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:

1 124,042,115
-1 -124,042,115

Now, we try dividing 124,042,115 by 3:

124,042,115 ÷ 3 = 41,347,371.6667

If the quotient is a whole number, then 3 and 41,347,371.6667 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:

1 124,042,115
-1 -124,042,115

Let's try dividing by 4:

124,042,115 ÷ 4 = 31,010,528.75

If the quotient is a whole number, then 4 and 31,010,528.75 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:

1 124,042,115
-1 124,042,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851,459,3197,296,59524,808,423124,042,115
-1-5-17-85-1,459,319-7,296,595-24,808,423-124,042,115

More Examples

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