Q: What are the factor combinations of the number 763,641,823?

 A:
Positive:   1 x 7636418237 x 10909168949 x 15584527283 x 2698381343 x 22263611981 x 3854837867 x 9706913867 x 55069
Negative: -1 x -763641823-7 x -109091689-49 x -15584527-283 x -2698381-343 x -2226361-1981 x -385483-7867 x -97069-13867 x -55069


How do I find the factor combinations of the number 763,641,823?

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 763,641,823, 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.

1 763,641,823
-1 -763,641,823

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 763,641,823.

Example:
1 x 763,641,823 = 763,641,823
and
-1 x -763,641,823 = 763,641,823
Notice both answers equal 763,641,823

With that explanation out of the way, let's continue. Next, we take the number 763,641,823 and divide it by 2:

763,641,823 ÷ 2 = 381,820,911.5

If the quotient is a whole number, then 2 and 381,820,911.5 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:

1 763,641,823
-1 -763,641,823

Now, we try dividing 763,641,823 by 3:

763,641,823 ÷ 3 = 254,547,274.3333

If the quotient is a whole number, then 3 and 254,547,274.3333 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:

1 763,641,823
-1 -763,641,823

Let's try dividing by 4:

763,641,823 ÷ 4 = 190,910,455.75

If the quotient is a whole number, then 4 and 190,910,455.75 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:

1 763,641,823
-1 763,641,823
Keep dividing by the next highest number until you cannot divide anymore.

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

17492833431,9817,86713,86755,06997,069385,4832,226,3612,698,38115,584,527109,091,689763,641,823
-1-7-49-283-343-1,981-7,867-13,867-55,069-97,069-385,483-2,226,361-2,698,381-15,584,527-109,091,689-763,641,823

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