Q: What are the factor combinations of the number 125,422,843?

 A:
Positive:   1 x 1254228437 x 1791754913 x 964791191 x 137827397 x 1293019169 x 742147679 x 1847171093 x 1147511183 x 1060211261 x 994637651 x 163938827 x 14209
Negative: -1 x -125422843-7 x -17917549-13 x -9647911-91 x -1378273-97 x -1293019-169 x -742147-679 x -184717-1093 x -114751-1183 x -106021-1261 x -99463-7651 x -16393-8827 x -14209


How do I find the factor combinations of the number 125,422,843?

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 125,422,843, 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.

1 125,422,843
-1 -125,422,843

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 125,422,843.

Example:
1 x 125,422,843 = 125,422,843
and
-1 x -125,422,843 = 125,422,843
Notice both answers equal 125,422,843

With that explanation out of the way, let's continue. Next, we take the number 125,422,843 and divide it by 2:

125,422,843 ÷ 2 = 62,711,421.5

If the quotient is a whole number, then 2 and 62,711,421.5 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:

1 125,422,843
-1 -125,422,843

Now, we try dividing 125,422,843 by 3:

125,422,843 ÷ 3 = 41,807,614.3333

If the quotient is a whole number, then 3 and 41,807,614.3333 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:

1 125,422,843
-1 -125,422,843

Let's try dividing by 4:

125,422,843 ÷ 4 = 31,355,710.75

If the quotient is a whole number, then 4 and 31,355,710.75 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:

1 125,422,843
-1 125,422,843
Keep dividing by the next highest number until you cannot divide anymore.

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

171391971696791,0931,1831,2617,6518,82714,20916,39399,463106,021114,751184,717742,1471,293,0191,378,2739,647,91117,917,549125,422,843
-1-7-13-91-97-169-679-1,093-1,183-1,261-7,651-8,827-14,209-16,393-99,463-106,021-114,751-184,717-742,147-1,293,019-1,378,273-9,647,911-17,917,549-125,422,843

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