Q: What are the factor combinations of the number 124,642,147?

 A:
Positive:   1 x 1246421477 x 1780602117 x 733189119 x 6560113119 x 1047413133 x 937159323 x 3858892261 x 55127
Negative: -1 x -124642147-7 x -17806021-17 x -7331891-19 x -6560113-119 x -1047413-133 x -937159-323 x -385889-2261 x -55127


How do I find the factor combinations of the number 124,642,147?

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 124,642,147, 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.

1 124,642,147
-1 -124,642,147

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 124,642,147.

Example:
1 x 124,642,147 = 124,642,147
and
-1 x -124,642,147 = 124,642,147
Notice both answers equal 124,642,147

With that explanation out of the way, let's continue. Next, we take the number 124,642,147 and divide it by 2:

124,642,147 ÷ 2 = 62,321,073.5

If the quotient is a whole number, then 2 and 62,321,073.5 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:

1 124,642,147
-1 -124,642,147

Now, we try dividing 124,642,147 by 3:

124,642,147 ÷ 3 = 41,547,382.3333

If the quotient is a whole number, then 3 and 41,547,382.3333 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:

1 124,642,147
-1 -124,642,147

Let's try dividing by 4:

124,642,147 ÷ 4 = 31,160,536.75

If the quotient is a whole number, then 4 and 31,160,536.75 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:

1 124,642,147
-1 124,642,147
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333232,26155,127385,889937,1591,047,4136,560,1137,331,89117,806,021124,642,147
-1-7-17-19-119-133-323-2,261-55,127-385,889-937,159-1,047,413-6,560,113-7,331,891-17,806,021-124,642,147

More Examples

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