Q: What are the factor combinations of the number 375,510,235?

 A:
Positive:   1 x 3755102355 x 751020474073 x 9219518439 x 20365
Negative: -1 x -375510235-5 x -75102047-4073 x -92195-18439 x -20365


How do I find the factor combinations of the number 375,510,235?

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 375,510,235, 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.

1 375,510,235
-1 -375,510,235

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 375,510,235.

Example:
1 x 375,510,235 = 375,510,235
and
-1 x -375,510,235 = 375,510,235
Notice both answers equal 375,510,235

With that explanation out of the way, let's continue. Next, we take the number 375,510,235 and divide it by 2:

375,510,235 ÷ 2 = 187,755,117.5

If the quotient is a whole number, then 2 and 187,755,117.5 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:

1 375,510,235
-1 -375,510,235

Now, we try dividing 375,510,235 by 3:

375,510,235 ÷ 3 = 125,170,078.3333

If the quotient is a whole number, then 3 and 125,170,078.3333 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:

1 375,510,235
-1 -375,510,235

Let's try dividing by 4:

375,510,235 ÷ 4 = 93,877,558.75

If the quotient is a whole number, then 4 and 93,877,558.75 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:

1 375,510,235
-1 375,510,235
Keep dividing by the next highest number until you cannot divide anymore.

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

154,07318,43920,36592,19575,102,047375,510,235
-1-5-4,073-18,439-20,365-92,195-75,102,047-375,510,235

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 375,510,235:


Ask a Question