Q: What are the factor combinations of the number 124,271,329?

 A:
Positive:   1 x 1242713297 x 1775304713 x 955933391 x 1365619313 x 3970332191 x 567194069 x 305414363 x 28483
Negative: -1 x -124271329-7 x -17753047-13 x -9559333-91 x -1365619-313 x -397033-2191 x -56719-4069 x -30541-4363 x -28483


How do I find the factor combinations of the number 124,271,329?

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 124,271,329, 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.

1 124,271,329
-1 -124,271,329

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 124,271,329.

Example:
1 x 124,271,329 = 124,271,329
and
-1 x -124,271,329 = 124,271,329
Notice both answers equal 124,271,329

With that explanation out of the way, let's continue. Next, we take the number 124,271,329 and divide it by 2:

124,271,329 ÷ 2 = 62,135,664.5

If the quotient is a whole number, then 2 and 62,135,664.5 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:

1 124,271,329
-1 -124,271,329

Now, we try dividing 124,271,329 by 3:

124,271,329 ÷ 3 = 41,423,776.3333

If the quotient is a whole number, then 3 and 41,423,776.3333 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:

1 124,271,329
-1 -124,271,329

Let's try dividing by 4:

124,271,329 ÷ 4 = 31,067,832.25

If the quotient is a whole number, then 4 and 31,067,832.25 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:

1 124,271,329
-1 124,271,329
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913132,1914,0694,36328,48330,54156,719397,0331,365,6199,559,33317,753,047124,271,329
-1-7-13-91-313-2,191-4,069-4,363-28,483-30,541-56,719-397,033-1,365,619-9,559,333-17,753,047-124,271,329

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