Q: What are the factor combinations of the number 97,745,477?

 A:
Positive:   1 x 9774547747 x 207969159 x 1656703101 x 967777349 x 2800732773 x 352494747 x 205915959 x 16403
Negative: -1 x -97745477-47 x -2079691-59 x -1656703-101 x -967777-349 x -280073-2773 x -35249-4747 x -20591-5959 x -16403


How do I find the factor combinations of the number 97,745,477?

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 97,745,477, 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 97,745,477
-1 -97,745,477

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 97,745,477.

Example:
1 x 97,745,477 = 97,745,477
and
-1 x -97,745,477 = 97,745,477
Notice both answers equal 97,745,477

With that explanation out of the way, let's continue. Next, we take the number 97,745,477 and divide it by 2:

97,745,477 ÷ 2 = 48,872,738.5

If the quotient is a whole number, then 2 and 48,872,738.5 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 97,745,477
-1 -97,745,477

Now, we try dividing 97,745,477 by 3:

97,745,477 ÷ 3 = 32,581,825.6667

If the quotient is a whole number, then 3 and 32,581,825.6667 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 97,745,477
-1 -97,745,477

Let's try dividing by 4:

97,745,477 ÷ 4 = 24,436,369.25

If the quotient is a whole number, then 4 and 24,436,369.25 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 97,745,477
-1 97,745,477
Keep dividing by the next highest number until you cannot divide anymore.

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

147591013492,7734,7475,95916,40320,59135,249280,073967,7771,656,7032,079,69197,745,477
-1-47-59-101-349-2,773-4,747-5,959-16,403-20,591-35,249-280,073-967,777-1,656,703-2,079,691-97,745,477

More Examples

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