Q: What are the factor combinations of the number 13,763,827?

 A:
Positive:   1 x 137638277 x 196626111 x 125125743 x 32008977 x 178751301 x 45727473 x 290993311 x 4157
Negative: -1 x -13763827-7 x -1966261-11 x -1251257-43 x -320089-77 x -178751-301 x -45727-473 x -29099-3311 x -4157


How do I find the factor combinations of the number 13,763,827?

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 13,763,827, 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 13,763,827
-1 -13,763,827

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 13,763,827.

Example:
1 x 13,763,827 = 13,763,827
and
-1 x -13,763,827 = 13,763,827
Notice both answers equal 13,763,827

With that explanation out of the way, let's continue. Next, we take the number 13,763,827 and divide it by 2:

13,763,827 ÷ 2 = 6,881,913.5

If the quotient is a whole number, then 2 and 6,881,913.5 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 13,763,827
-1 -13,763,827

Now, we try dividing 13,763,827 by 3:

13,763,827 ÷ 3 = 4,587,942.3333

If the quotient is a whole number, then 3 and 4,587,942.3333 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 13,763,827
-1 -13,763,827

Let's try dividing by 4:

13,763,827 ÷ 4 = 3,440,956.75

If the quotient is a whole number, then 4 and 3,440,956.75 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 13,763,827
-1 13,763,827
Keep dividing by the next highest number until you cannot divide anymore.

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

171143773014733,3114,15729,09945,727178,751320,0891,251,2571,966,26113,763,827
-1-7-11-43-77-301-473-3,311-4,157-29,099-45,727-178,751-320,089-1,251,257-1,966,261-13,763,827

More Examples

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