Q: What are the factor combinations of the number 426,000,629?

 A:
Positive:   1 x 426000629
Negative: -1 x -426000629


How do I find the factor combinations of the number 426,000,629?

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 426,000,629, 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.

1 426,000,629
-1 -426,000,629

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 426,000,629.

Example:
1 x 426,000,629 = 426,000,629
and
-1 x -426,000,629 = 426,000,629
Notice both answers equal 426,000,629

With that explanation out of the way, let's continue. Next, we take the number 426,000,629 and divide it by 2:

426,000,629 ÷ 2 = 213,000,314.5

If the quotient is a whole number, then 2 and 213,000,314.5 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:

1 426,000,629
-1 -426,000,629

Now, we try dividing 426,000,629 by 3:

426,000,629 ÷ 3 = 142,000,209.6667

If the quotient is a whole number, then 3 and 142,000,209.6667 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:

1 426,000,629
-1 -426,000,629

Let's try dividing by 4:

426,000,629 ÷ 4 = 106,500,157.25

If the quotient is a whole number, then 4 and 106,500,157.25 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:

1 426,000,629
-1 426,000,629
Keep dividing by the next highest number until you cannot divide anymore.

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

1426,000,629
-1-426,000,629

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 426,000,629:


Ask a Question