Q: What are the factor combinations of the number 73,673,743?

 A:
Positive:   1 x 7367374311 x 669761313 x 5667211101 x 729443143 x 5152011111 x 663131313 x 561115101 x 14443
Negative: -1 x -73673743-11 x -6697613-13 x -5667211-101 x -729443-143 x -515201-1111 x -66313-1313 x -56111-5101 x -14443


How do I find the factor combinations of the number 73,673,743?

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 73,673,743, 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 73,673,743
-1 -73,673,743

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 73,673,743.

Example:
1 x 73,673,743 = 73,673,743
and
-1 x -73,673,743 = 73,673,743
Notice both answers equal 73,673,743

With that explanation out of the way, let's continue. Next, we take the number 73,673,743 and divide it by 2:

73,673,743 ÷ 2 = 36,836,871.5

If the quotient is a whole number, then 2 and 36,836,871.5 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 73,673,743
-1 -73,673,743

Now, we try dividing 73,673,743 by 3:

73,673,743 ÷ 3 = 24,557,914.3333

If the quotient is a whole number, then 3 and 24,557,914.3333 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 73,673,743
-1 -73,673,743

Let's try dividing by 4:

73,673,743 ÷ 4 = 18,418,435.75

If the quotient is a whole number, then 4 and 18,418,435.75 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 73,673,743
-1 73,673,743
Keep dividing by the next highest number until you cannot divide anymore.

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

111131011431,1111,3135,10114,44356,11166,313515,201729,4435,667,2116,697,61373,673,743
-1-11-13-101-143-1,111-1,313-5,101-14,443-56,111-66,313-515,201-729,443-5,667,211-6,697,613-73,673,743

More Examples

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