Q: What are the factor combinations of the number 713,158,265?

 A:
Positive:   1 x 7131582655 x 142631653139 x 5130635695 x 1026127
Negative: -1 x -713158265-5 x -142631653-139 x -5130635-695 x -1026127


How do I find the factor combinations of the number 713,158,265?

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 713,158,265, 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.

1 713,158,265
-1 -713,158,265

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 713,158,265.

Example:
1 x 713,158,265 = 713,158,265
and
-1 x -713,158,265 = 713,158,265
Notice both answers equal 713,158,265

With that explanation out of the way, let's continue. Next, we take the number 713,158,265 and divide it by 2:

713,158,265 ÷ 2 = 356,579,132.5

If the quotient is a whole number, then 2 and 356,579,132.5 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:

1 713,158,265
-1 -713,158,265

Now, we try dividing 713,158,265 by 3:

713,158,265 ÷ 3 = 237,719,421.6667

If the quotient is a whole number, then 3 and 237,719,421.6667 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:

1 713,158,265
-1 -713,158,265

Let's try dividing by 4:

713,158,265 ÷ 4 = 178,289,566.25

If the quotient is a whole number, then 4 and 178,289,566.25 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:

1 713,158,265
-1 713,158,265
Keep dividing by the next highest number until you cannot divide anymore.

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

151396951,026,1275,130,635142,631,653713,158,265
-1-5-139-695-1,026,127-5,130,635-142,631,653-713,158,265

More Examples

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