Q: What are the factor combinations of the number 712,231,235?

 A:
Positive:   1 x 7122312355 x 14244624717 x 4189595585 x 8379191881 x 8084354405 x 1616879511 x 7488514977 x 47555
Negative: -1 x -712231235-5 x -142446247-17 x -41895955-85 x -8379191-881 x -808435-4405 x -161687-9511 x -74885-14977 x -47555


How do I find the factor combinations of the number 712,231,235?

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 712,231,235, 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.

1 712,231,235
-1 -712,231,235

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 712,231,235.

Example:
1 x 712,231,235 = 712,231,235
and
-1 x -712,231,235 = 712,231,235
Notice both answers equal 712,231,235

With that explanation out of the way, let's continue. Next, we take the number 712,231,235 and divide it by 2:

712,231,235 ÷ 2 = 356,115,617.5

If the quotient is a whole number, then 2 and 356,115,617.5 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:

1 712,231,235
-1 -712,231,235

Now, we try dividing 712,231,235 by 3:

712,231,235 ÷ 3 = 237,410,411.6667

If the quotient is a whole number, then 3 and 237,410,411.6667 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:

1 712,231,235
-1 -712,231,235

Let's try dividing by 4:

712,231,235 ÷ 4 = 178,057,808.75

If the quotient is a whole number, then 4 and 178,057,808.75 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:

1 712,231,235
-1 712,231,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1517858814,4059,51114,97747,55574,885161,687808,4358,379,19141,895,955142,446,247712,231,235
-1-5-17-85-881-4,405-9,511-14,977-47,555-74,885-161,687-808,435-8,379,191-41,895,955-142,446,247-712,231,235

More Examples

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