Q: What are the factor combinations of the number 371,714,435?

 A:
Positive:   1 x 3717144355 x 7434288717 x 2186555585 x 4373111151 x 2461685755 x 4923372567 x 14480512835 x 28961
Negative: -1 x -371714435-5 x -74342887-17 x -21865555-85 x -4373111-151 x -2461685-755 x -492337-2567 x -144805-12835 x -28961


How do I find the factor combinations of the number 371,714,435?

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 371,714,435, 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.

1 371,714,435
-1 -371,714,435

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 371,714,435.

Example:
1 x 371,714,435 = 371,714,435
and
-1 x -371,714,435 = 371,714,435
Notice both answers equal 371,714,435

With that explanation out of the way, let's continue. Next, we take the number 371,714,435 and divide it by 2:

371,714,435 ÷ 2 = 185,857,217.5

If the quotient is a whole number, then 2 and 185,857,217.5 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:

1 371,714,435
-1 -371,714,435

Now, we try dividing 371,714,435 by 3:

371,714,435 ÷ 3 = 123,904,811.6667

If the quotient is a whole number, then 3 and 123,904,811.6667 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:

1 371,714,435
-1 -371,714,435

Let's try dividing by 4:

371,714,435 ÷ 4 = 92,928,608.75

If the quotient is a whole number, then 4 and 92,928,608.75 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:

1 371,714,435
-1 371,714,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851517552,56712,83528,961144,805492,3372,461,6854,373,11121,865,55574,342,887371,714,435
-1-5-17-85-151-755-2,567-12,835-28,961-144,805-492,337-2,461,685-4,373,111-21,865,555-74,342,887-371,714,435

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