Q: What are the factor combinations of the number 37,678,511?

 A:
Positive:   1 x 3767851113 x 289834717 x 221638329 x 1299259221 x 170491377 x 99943493 x 764275879 x 6409
Negative: -1 x -37678511-13 x -2898347-17 x -2216383-29 x -1299259-221 x -170491-377 x -99943-493 x -76427-5879 x -6409


How do I find the factor combinations of the number 37,678,511?

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 37,678,511, 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 37,678,511
-1 -37,678,511

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 37,678,511.

Example:
1 x 37,678,511 = 37,678,511
and
-1 x -37,678,511 = 37,678,511
Notice both answers equal 37,678,511

With that explanation out of the way, let's continue. Next, we take the number 37,678,511 and divide it by 2:

37,678,511 ÷ 2 = 18,839,255.5

If the quotient is a whole number, then 2 and 18,839,255.5 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 37,678,511
-1 -37,678,511

Now, we try dividing 37,678,511 by 3:

37,678,511 ÷ 3 = 12,559,503.6667

If the quotient is a whole number, then 3 and 12,559,503.6667 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 37,678,511
-1 -37,678,511

Let's try dividing by 4:

37,678,511 ÷ 4 = 9,419,627.75

If the quotient is a whole number, then 4 and 9,419,627.75 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 37,678,511
-1 37,678,511
Keep dividing by the next highest number until you cannot divide anymore.

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

11317292213774935,8796,40976,42799,943170,4911,299,2592,216,3832,898,34737,678,511
-1-13-17-29-221-377-493-5,879-6,409-76,427-99,943-170,491-1,299,259-2,216,383-2,898,347-37,678,511

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 37,678,511:


Ask a Question