Q: What are the factor combinations of the number 371,446,164?

 A:
Positive:   1 x 3714461642 x 1857230823 x 1238153884 x 928615416 x 619076949 x 4127179612 x 3095384718 x 2063589836 x 10317949
Negative: -1 x -371446164-2 x -185723082-3 x -123815388-4 x -92861541-6 x -61907694-9 x -41271796-12 x -30953847-18 x -20635898-36 x -10317949


How do I find the factor combinations of the number 371,446,164?

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 371,446,164, 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.

1 371,446,164
-1 -371,446,164

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 371,446,164.

Example:
1 x 371,446,164 = 371,446,164
and
-1 x -371,446,164 = 371,446,164
Notice both answers equal 371,446,164

With that explanation out of the way, let's continue. Next, we take the number 371,446,164 and divide it by 2:

371,446,164 ÷ 2 = 185,723,082

If the quotient is a whole number, then 2 and 185,723,082 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 185,723,082 371,446,164
-1 -2 -185,723,082 -371,446,164

Now, we try dividing 371,446,164 by 3:

371,446,164 ÷ 3 = 123,815,388

If the quotient is a whole number, then 3 and 123,815,388 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 123,815,388 185,723,082 371,446,164
-1 -2 -3 -123,815,388 -185,723,082 -371,446,164

Let's try dividing by 4:

371,446,164 ÷ 4 = 92,861,541

If the quotient is a whole number, then 4 and 92,861,541 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 92,861,541 123,815,388 185,723,082 371,446,164
-1 -2 -3 -4 -92,861,541 -123,815,388 -185,723,082 371,446,164
Keep dividing by the next highest number until you cannot divide anymore.

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

12346912183610,317,94920,635,89830,953,84741,271,79661,907,69492,861,541123,815,388185,723,082371,446,164
-1-2-3-4-6-9-12-18-36-10,317,949-20,635,898-30,953,847-41,271,796-61,907,694-92,861,541-123,815,388-185,723,082-371,446,164

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 371,446,164:


Ask a Question