Q: What are the factor combinations of the number 3,683,977?

 A:
Positive:   1 x 368397711 x 33490753 x 6950971 x 5188789 x 41393583 x 6319781 x 4717979 x 3763
Negative: -1 x -3683977-11 x -334907-53 x -69509-71 x -51887-89 x -41393-583 x -6319-781 x -4717-979 x -3763


How do I find the factor combinations of the number 3,683,977?

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 3,683,977, 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 3,683,977
-1 -3,683,977

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 3,683,977.

Example:
1 x 3,683,977 = 3,683,977
and
-1 x -3,683,977 = 3,683,977
Notice both answers equal 3,683,977

With that explanation out of the way, let's continue. Next, we take the number 3,683,977 and divide it by 2:

3,683,977 ÷ 2 = 1,841,988.5

If the quotient is a whole number, then 2 and 1,841,988.5 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 3,683,977
-1 -3,683,977

Now, we try dividing 3,683,977 by 3:

3,683,977 ÷ 3 = 1,227,992.3333

If the quotient is a whole number, then 3 and 1,227,992.3333 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 3,683,977
-1 -3,683,977

Let's try dividing by 4:

3,683,977 ÷ 4 = 920,994.25

If the quotient is a whole number, then 4 and 920,994.25 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 3,683,977
-1 3,683,977
Keep dividing by the next highest number until you cannot divide anymore.

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

1115371895837819793,7634,7176,31941,39351,88769,509334,9073,683,977
-1-11-53-71-89-583-781-979-3,763-4,717-6,319-41,393-51,887-69,509-334,907-3,683,977

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,683,977:


Ask a Question