Q: What are the factor combinations of the number 713,013,763?

 A:
Positive:   1 x 7130137637 x 10185910911 x 6481943377 x 9259919827 x 8621695789 x 1231679097 x 7837911197 x 63679
Negative: -1 x -713013763-7 x -101859109-11 x -64819433-77 x -9259919-827 x -862169-5789 x -123167-9097 x -78379-11197 x -63679


How do I find the factor combinations of the number 713,013,763?

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 713,013,763, 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.

1 713,013,763
-1 -713,013,763

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 713,013,763.

Example:
1 x 713,013,763 = 713,013,763
and
-1 x -713,013,763 = 713,013,763
Notice both answers equal 713,013,763

With that explanation out of the way, let's continue. Next, we take the number 713,013,763 and divide it by 2:

713,013,763 ÷ 2 = 356,506,881.5

If the quotient is a whole number, then 2 and 356,506,881.5 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:

1 713,013,763
-1 -713,013,763

Now, we try dividing 713,013,763 by 3:

713,013,763 ÷ 3 = 237,671,254.3333

If the quotient is a whole number, then 3 and 237,671,254.3333 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:

1 713,013,763
-1 -713,013,763

Let's try dividing by 4:

713,013,763 ÷ 4 = 178,253,440.75

If the quotient is a whole number, then 4 and 178,253,440.75 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:

1 713,013,763
-1 713,013,763
Keep dividing by the next highest number until you cannot divide anymore.

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

1711778275,7899,09711,19763,67978,379123,167862,1699,259,91964,819,433101,859,109713,013,763
-1-7-11-77-827-5,789-9,097-11,197-63,679-78,379-123,167-862,169-9,259,919-64,819,433-101,859,109-713,013,763

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