Q: What are the factor combinations of the number 31,677,547?

 A:
Positive:   1 x 3167754711 x 287977773 x 433939103 x 307549383 x 82709803 x 394491133 x 279594213 x 7519
Negative: -1 x -31677547-11 x -2879777-73 x -433939-103 x -307549-383 x -82709-803 x -39449-1133 x -27959-4213 x -7519


How do I find the factor combinations of the number 31,677,547?

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 31,677,547, 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 31,677,547
-1 -31,677,547

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 31,677,547.

Example:
1 x 31,677,547 = 31,677,547
and
-1 x -31,677,547 = 31,677,547
Notice both answers equal 31,677,547

With that explanation out of the way, let's continue. Next, we take the number 31,677,547 and divide it by 2:

31,677,547 ÷ 2 = 15,838,773.5

If the quotient is a whole number, then 2 and 15,838,773.5 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 31,677,547
-1 -31,677,547

Now, we try dividing 31,677,547 by 3:

31,677,547 ÷ 3 = 10,559,182.3333

If the quotient is a whole number, then 3 and 10,559,182.3333 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 31,677,547
-1 -31,677,547

Let's try dividing by 4:

31,677,547 ÷ 4 = 7,919,386.75

If the quotient is a whole number, then 4 and 7,919,386.75 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 31,677,547
-1 31,677,547
Keep dividing by the next highest number until you cannot divide anymore.

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

111731033838031,1334,2137,51927,95939,44982,709307,549433,9392,879,77731,677,547
-1-11-73-103-383-803-1,133-4,213-7,519-27,959-39,449-82,709-307,549-433,939-2,879,777-31,677,547

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,677,547:


Ask a Question