Q: What are the factor combinations of the number 124,102,675?

 A:
Positive:   1 x 1241026755 x 2482053525 x 496410771 x 1747925139 x 892825355 x 349585503 x 246725695 x 1785651775 x 699172515 x 493453475 x 357139869 x 12575
Negative: -1 x -124102675-5 x -24820535-25 x -4964107-71 x -1747925-139 x -892825-355 x -349585-503 x -246725-695 x -178565-1775 x -69917-2515 x -49345-3475 x -35713-9869 x -12575


How do I find the factor combinations of the number 124,102,675?

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 124,102,675, 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.

1 124,102,675
-1 -124,102,675

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 124,102,675.

Example:
1 x 124,102,675 = 124,102,675
and
-1 x -124,102,675 = 124,102,675
Notice both answers equal 124,102,675

With that explanation out of the way, let's continue. Next, we take the number 124,102,675 and divide it by 2:

124,102,675 ÷ 2 = 62,051,337.5

If the quotient is a whole number, then 2 and 62,051,337.5 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:

1 124,102,675
-1 -124,102,675

Now, we try dividing 124,102,675 by 3:

124,102,675 ÷ 3 = 41,367,558.3333

If the quotient is a whole number, then 3 and 41,367,558.3333 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:

1 124,102,675
-1 -124,102,675

Let's try dividing by 4:

124,102,675 ÷ 4 = 31,025,668.75

If the quotient is a whole number, then 4 and 31,025,668.75 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:

1 124,102,675
-1 124,102,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1525711393555036951,7752,5153,4759,86912,57535,71349,34569,917178,565246,725349,585892,8251,747,9254,964,10724,820,535124,102,675
-1-5-25-71-139-355-503-695-1,775-2,515-3,475-9,869-12,575-35,713-49,345-69,917-178,565-246,725-349,585-892,825-1,747,925-4,964,107-24,820,535-124,102,675

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