Q: What are the factor combinations of the number 135,020,479?

 A:
Positive:   1 x 13502047911 x 1227458919 x 7106341209 x 646031223 x 6054732453 x 550432897 x 466074237 x 31867
Negative: -1 x -135020479-11 x -12274589-19 x -7106341-209 x -646031-223 x -605473-2453 x -55043-2897 x -46607-4237 x -31867


How do I find the factor combinations of the number 135,020,479?

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 135,020,479, 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.

1 135,020,479
-1 -135,020,479

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 135,020,479.

Example:
1 x 135,020,479 = 135,020,479
and
-1 x -135,020,479 = 135,020,479
Notice both answers equal 135,020,479

With that explanation out of the way, let's continue. Next, we take the number 135,020,479 and divide it by 2:

135,020,479 ÷ 2 = 67,510,239.5

If the quotient is a whole number, then 2 and 67,510,239.5 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:

1 135,020,479
-1 -135,020,479

Now, we try dividing 135,020,479 by 3:

135,020,479 ÷ 3 = 45,006,826.3333

If the quotient is a whole number, then 3 and 45,006,826.3333 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:

1 135,020,479
-1 -135,020,479

Let's try dividing by 4:

135,020,479 ÷ 4 = 33,755,119.75

If the quotient is a whole number, then 4 and 33,755,119.75 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:

1 135,020,479
-1 135,020,479
Keep dividing by the next highest number until you cannot divide anymore.

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

111192092232,4532,8974,23731,86746,60755,043605,473646,0317,106,34112,274,589135,020,479
-1-11-19-209-223-2,453-2,897-4,237-31,867-46,607-55,043-605,473-646,031-7,106,341-12,274,589-135,020,479

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