Q: What are the factor combinations of the number 426,373,753?

 A:
Positive:   1 x 42637375313 x 3279798117 x 25080809103 x 4139551221 x 19292931339 x 3184271751 x 24350318731 x 22763
Negative: -1 x -426373753-13 x -32797981-17 x -25080809-103 x -4139551-221 x -1929293-1339 x -318427-1751 x -243503-18731 x -22763


How do I find the factor combinations of the number 426,373,753?

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 426,373,753, 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.

1 426,373,753
-1 -426,373,753

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 426,373,753.

Example:
1 x 426,373,753 = 426,373,753
and
-1 x -426,373,753 = 426,373,753
Notice both answers equal 426,373,753

With that explanation out of the way, let's continue. Next, we take the number 426,373,753 and divide it by 2:

426,373,753 ÷ 2 = 213,186,876.5

If the quotient is a whole number, then 2 and 213,186,876.5 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:

1 426,373,753
-1 -426,373,753

Now, we try dividing 426,373,753 by 3:

426,373,753 ÷ 3 = 142,124,584.3333

If the quotient is a whole number, then 3 and 142,124,584.3333 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:

1 426,373,753
-1 -426,373,753

Let's try dividing by 4:

426,373,753 ÷ 4 = 106,593,438.25

If the quotient is a whole number, then 4 and 106,593,438.25 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:

1 426,373,753
-1 426,373,753
Keep dividing by the next highest number until you cannot divide anymore.

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

113171032211,3391,75118,73122,763243,503318,4271,929,2934,139,55125,080,80932,797,981426,373,753
-1-13-17-103-221-1,339-1,751-18,731-22,763-243,503-318,427-1,929,293-4,139,551-25,080,809-32,797,981-426,373,753

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