Q: What are the factor combinations of the number 949,267?

 A:
Positive:   1 x 94926711 x 86297
Negative: -1 x -949267-11 x -86297


How do I find the factor combinations of the number 949,267?

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 949,267, 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.

1 949,267
-1 -949,267

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 949,267.

Example:
1 x 949,267 = 949,267
and
-1 x -949,267 = 949,267
Notice both answers equal 949,267

With that explanation out of the way, let's continue. Next, we take the number 949,267 and divide it by 2:

949,267 ÷ 2 = 474,633.5

If the quotient is a whole number, then 2 and 474,633.5 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:

1 949,267
-1 -949,267

Now, we try dividing 949,267 by 3:

949,267 ÷ 3 = 316,422.3333

If the quotient is a whole number, then 3 and 316,422.3333 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:

1 949,267
-1 -949,267

Let's try dividing by 4:

949,267 ÷ 4 = 237,316.75

If the quotient is a whole number, then 4 and 237,316.75 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:

1 949,267
-1 949,267
Keep dividing by the next highest number until you cannot divide anymore.

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

11186,297949,267
-1-11-86,297-949,267

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 949,267:


Ask a Question