Q: What are the factor combinations of the number 73,436,389?

 A:
Positive:   1 x 7343638913 x 564895343 x 1707823559 x 131371
Negative: -1 x -73436389-13 x -5648953-43 x -1707823-559 x -131371


How do I find the factor combinations of the number 73,436,389?

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 73,436,389, 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 73,436,389
-1 -73,436,389

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 73,436,389.

Example:
1 x 73,436,389 = 73,436,389
and
-1 x -73,436,389 = 73,436,389
Notice both answers equal 73,436,389

With that explanation out of the way, let's continue. Next, we take the number 73,436,389 and divide it by 2:

73,436,389 ÷ 2 = 36,718,194.5

If the quotient is a whole number, then 2 and 36,718,194.5 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 73,436,389
-1 -73,436,389

Now, we try dividing 73,436,389 by 3:

73,436,389 ÷ 3 = 24,478,796.3333

If the quotient is a whole number, then 3 and 24,478,796.3333 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 73,436,389
-1 -73,436,389

Let's try dividing by 4:

73,436,389 ÷ 4 = 18,359,097.25

If the quotient is a whole number, then 4 and 18,359,097.25 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 73,436,389
-1 73,436,389
Keep dividing by the next highest number until you cannot divide anymore.

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

11343559131,3711,707,8235,648,95373,436,389
-1-13-43-559-131,371-1,707,823-5,648,953-73,436,389

More Examples

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