Q: What are the factor combinations of the number 260,006,141?

 A:
Positive:   1 x 26000614129 x 896572937 x 7027193167 x 15569231073 x 2423171451 x 1791914843 x 536876179 x 42079
Negative: -1 x -260006141-29 x -8965729-37 x -7027193-167 x -1556923-1073 x -242317-1451 x -179191-4843 x -53687-6179 x -42079


How do I find the factor combinations of the number 260,006,141?

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 260,006,141, 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.

1 260,006,141
-1 -260,006,141

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 260,006,141.

Example:
1 x 260,006,141 = 260,006,141
and
-1 x -260,006,141 = 260,006,141
Notice both answers equal 260,006,141

With that explanation out of the way, let's continue. Next, we take the number 260,006,141 and divide it by 2:

260,006,141 ÷ 2 = 130,003,070.5

If the quotient is a whole number, then 2 and 130,003,070.5 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:

1 260,006,141
-1 -260,006,141

Now, we try dividing 260,006,141 by 3:

260,006,141 ÷ 3 = 86,668,713.6667

If the quotient is a whole number, then 3 and 86,668,713.6667 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:

1 260,006,141
-1 -260,006,141

Let's try dividing by 4:

260,006,141 ÷ 4 = 65,001,535.25

If the quotient is a whole number, then 4 and 65,001,535.25 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:

1 260,006,141
-1 260,006,141
Keep dividing by the next highest number until you cannot divide anymore.

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

129371671,0731,4514,8436,17942,07953,687179,191242,3171,556,9237,027,1938,965,729260,006,141
-1-29-37-167-1,073-1,451-4,843-6,179-42,079-53,687-179,191-242,317-1,556,923-7,027,193-8,965,729-260,006,141

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