Q: What are the factor combinations of the number 124,011,335?

 A:
Positive:   1 x 1240113355 x 248022677 x 1771590535 x 3543181101 x 1227835505 x 245567707 x 1754053535 x 35081
Negative: -1 x -124011335-5 x -24802267-7 x -17715905-35 x -3543181-101 x -1227835-505 x -245567-707 x -175405-3535 x -35081


How do I find the factor combinations of the number 124,011,335?

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 124,011,335, 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.

1 124,011,335
-1 -124,011,335

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 124,011,335.

Example:
1 x 124,011,335 = 124,011,335
and
-1 x -124,011,335 = 124,011,335
Notice both answers equal 124,011,335

With that explanation out of the way, let's continue. Next, we take the number 124,011,335 and divide it by 2:

124,011,335 ÷ 2 = 62,005,667.5

If the quotient is a whole number, then 2 and 62,005,667.5 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:

1 124,011,335
-1 -124,011,335

Now, we try dividing 124,011,335 by 3:

124,011,335 ÷ 3 = 41,337,111.6667

If the quotient is a whole number, then 3 and 41,337,111.6667 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:

1 124,011,335
-1 -124,011,335

Let's try dividing by 4:

124,011,335 ÷ 4 = 31,002,833.75

If the quotient is a whole number, then 4 and 31,002,833.75 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:

1 124,011,335
-1 124,011,335
Keep dividing by the next highest number until you cannot divide anymore.

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

157351015057073,53535,081175,405245,5671,227,8353,543,18117,715,90524,802,267124,011,335
-1-5-7-35-101-505-707-3,535-35,081-175,405-245,567-1,227,835-3,543,181-17,715,905-24,802,267-124,011,335

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