Q: What are the factor combinations of the number 705,146,627?

 A:
Positive:   1 x 70514662723 x 30658549
Negative: -1 x -705146627-23 x -30658549


How do I find the factor combinations of the number 705,146,627?

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 705,146,627, 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.

1 705,146,627
-1 -705,146,627

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 705,146,627.

Example:
1 x 705,146,627 = 705,146,627
and
-1 x -705,146,627 = 705,146,627
Notice both answers equal 705,146,627

With that explanation out of the way, let's continue. Next, we take the number 705,146,627 and divide it by 2:

705,146,627 ÷ 2 = 352,573,313.5

If the quotient is a whole number, then 2 and 352,573,313.5 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:

1 705,146,627
-1 -705,146,627

Now, we try dividing 705,146,627 by 3:

705,146,627 ÷ 3 = 235,048,875.6667

If the quotient is a whole number, then 3 and 235,048,875.6667 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:

1 705,146,627
-1 -705,146,627

Let's try dividing by 4:

705,146,627 ÷ 4 = 176,286,656.75

If the quotient is a whole number, then 4 and 176,286,656.75 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:

1 705,146,627
-1 705,146,627
Keep dividing by the next highest number until you cannot divide anymore.

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

12330,658,549705,146,627
-1-23-30,658,549-705,146,627

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 705,146,627:


Ask a Question