Q: What are the factor combinations of the number 376,782,565?

 A:
Positive:   1 x 3767825655 x 7535651353 x 710910573 x 5161405265 x 1421821365 x 10322813869 x 9738519345 x 19477
Negative: -1 x -376782565-5 x -75356513-53 x -7109105-73 x -5161405-265 x -1421821-365 x -1032281-3869 x -97385-19345 x -19477


How do I find the factor combinations of the number 376,782,565?

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 376,782,565, 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.

1 376,782,565
-1 -376,782,565

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 376,782,565.

Example:
1 x 376,782,565 = 376,782,565
and
-1 x -376,782,565 = 376,782,565
Notice both answers equal 376,782,565

With that explanation out of the way, let's continue. Next, we take the number 376,782,565 and divide it by 2:

376,782,565 ÷ 2 = 188,391,282.5

If the quotient is a whole number, then 2 and 188,391,282.5 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:

1 376,782,565
-1 -376,782,565

Now, we try dividing 376,782,565 by 3:

376,782,565 ÷ 3 = 125,594,188.3333

If the quotient is a whole number, then 3 and 125,594,188.3333 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:

1 376,782,565
-1 -376,782,565

Let's try dividing by 4:

376,782,565 ÷ 4 = 94,195,641.25

If the quotient is a whole number, then 4 and 94,195,641.25 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:

1 376,782,565
-1 376,782,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1553732653653,86919,34519,47797,3851,032,2811,421,8215,161,4057,109,10575,356,513376,782,565
-1-5-53-73-265-365-3,869-19,345-19,477-97,385-1,032,281-1,421,821-5,161,405-7,109,105-75,356,513-376,782,565

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 376,782,565:


Ask a Question