Q: What are the factor combinations of the number 103,423,433?

 A:
Positive:   1 x 10342343323 x 4496671103 x 1004111149 x 694117293 x 3529812369 x 436573427 x 301796739 x 15347
Negative: -1 x -103423433-23 x -4496671-103 x -1004111-149 x -694117-293 x -352981-2369 x -43657-3427 x -30179-6739 x -15347


How do I find the factor combinations of the number 103,423,433?

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 103,423,433, 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.

1 103,423,433
-1 -103,423,433

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 103,423,433.

Example:
1 x 103,423,433 = 103,423,433
and
-1 x -103,423,433 = 103,423,433
Notice both answers equal 103,423,433

With that explanation out of the way, let's continue. Next, we take the number 103,423,433 and divide it by 2:

103,423,433 ÷ 2 = 51,711,716.5

If the quotient is a whole number, then 2 and 51,711,716.5 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:

1 103,423,433
-1 -103,423,433

Now, we try dividing 103,423,433 by 3:

103,423,433 ÷ 3 = 34,474,477.6667

If the quotient is a whole number, then 3 and 34,474,477.6667 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:

1 103,423,433
-1 -103,423,433

Let's try dividing by 4:

103,423,433 ÷ 4 = 25,855,858.25

If the quotient is a whole number, then 4 and 25,855,858.25 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:

1 103,423,433
-1 103,423,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1231031492932,3693,4276,73915,34730,17943,657352,981694,1171,004,1114,496,671103,423,433
-1-23-103-149-293-2,369-3,427-6,739-15,347-30,179-43,657-352,981-694,117-1,004,111-4,496,671-103,423,433

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