Q: What are the factor combinations of the number 124,402,159?

 A:
Positive:   1 x 1244021597 x 1777173741 x 3034199107 x 1162637287 x 433457749 x 1660914051 x 307094387 x 28357
Negative: -1 x -124402159-7 x -17771737-41 x -3034199-107 x -1162637-287 x -433457-749 x -166091-4051 x -30709-4387 x -28357


How do I find the factor combinations of the number 124,402,159?

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 124,402,159, 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.

1 124,402,159
-1 -124,402,159

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 124,402,159.

Example:
1 x 124,402,159 = 124,402,159
and
-1 x -124,402,159 = 124,402,159
Notice both answers equal 124,402,159

With that explanation out of the way, let's continue. Next, we take the number 124,402,159 and divide it by 2:

124,402,159 ÷ 2 = 62,201,079.5

If the quotient is a whole number, then 2 and 62,201,079.5 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:

1 124,402,159
-1 -124,402,159

Now, we try dividing 124,402,159 by 3:

124,402,159 ÷ 3 = 41,467,386.3333

If the quotient is a whole number, then 3 and 41,467,386.3333 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:

1 124,402,159
-1 -124,402,159

Let's try dividing by 4:

124,402,159 ÷ 4 = 31,100,539.75

If the quotient is a whole number, then 4 and 31,100,539.75 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:

1 124,402,159
-1 124,402,159
Keep dividing by the next highest number until you cannot divide anymore.

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

17411072877494,0514,38728,35730,709166,091433,4571,162,6373,034,19917,771,737124,402,159
-1-7-41-107-287-749-4,051-4,387-28,357-30,709-166,091-433,457-1,162,637-3,034,199-17,771,737-124,402,159

More Examples

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