Q: What are the factor combinations of the number 768,955?

 A:
Positive:   1 x 7689555 x 15379111 x 6990531 x 2480541 x 1875555 x 13981121 x 6355155 x 4961205 x 3751341 x 2255451 x 1705605 x 1271
Negative: -1 x -768955-5 x -153791-11 x -69905-31 x -24805-41 x -18755-55 x -13981-121 x -6355-155 x -4961-205 x -3751-341 x -2255-451 x -1705-605 x -1271


How do I find the factor combinations of the number 768,955?

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 768,955, 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.

1 768,955
-1 -768,955

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 768,955.

Example:
1 x 768,955 = 768,955
and
-1 x -768,955 = 768,955
Notice both answers equal 768,955

With that explanation out of the way, let's continue. Next, we take the number 768,955 and divide it by 2:

768,955 ÷ 2 = 384,477.5

If the quotient is a whole number, then 2 and 384,477.5 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:

1 768,955
-1 -768,955

Now, we try dividing 768,955 by 3:

768,955 ÷ 3 = 256,318.3333

If the quotient is a whole number, then 3 and 256,318.3333 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:

1 768,955
-1 -768,955

Let's try dividing by 4:

768,955 ÷ 4 = 192,238.75

If the quotient is a whole number, then 4 and 192,238.75 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:

1 768,955
-1 768,955
Keep dividing by the next highest number until you cannot divide anymore.

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

15113141551211552053414516051,2711,7052,2553,7514,9616,35513,98118,75524,80569,905153,791768,955
-1-5-11-31-41-55-121-155-205-341-451-605-1,271-1,705-2,255-3,751-4,961-6,355-13,981-18,755-24,805-69,905-153,791-768,955

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