Q: What are the factor combinations of the number 953,351?

 A:
Positive:   1 x 9533517 x 136193
Negative: -1 x -953351-7 x -136193


How do I find the factor combinations of the number 953,351?

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 953,351, 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.

1 953,351
-1 -953,351

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 953,351.

Example:
1 x 953,351 = 953,351
and
-1 x -953,351 = 953,351
Notice both answers equal 953,351

With that explanation out of the way, let's continue. Next, we take the number 953,351 and divide it by 2:

953,351 ÷ 2 = 476,675.5

If the quotient is a whole number, then 2 and 476,675.5 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:

1 953,351
-1 -953,351

Now, we try dividing 953,351 by 3:

953,351 ÷ 3 = 317,783.6667

If the quotient is a whole number, then 3 and 317,783.6667 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:

1 953,351
-1 -953,351

Let's try dividing by 4:

953,351 ÷ 4 = 238,337.75

If the quotient is a whole number, then 4 and 238,337.75 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:

1 953,351
-1 953,351
Keep dividing by the next highest number until you cannot divide anymore.

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

17136,193953,351
-1-7-136,193-953,351

More Examples

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