Q: What are the factor combinations of the number 9,761,429?

 A:
Positive:   1 x 976142929 x 336601463 x 21083727 x 13427
Negative: -1 x -9761429-29 x -336601-463 x -21083-727 x -13427


How do I find the factor combinations of the number 9,761,429?

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 9,761,429, 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 9,761,429
-1 -9,761,429

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 9,761,429.

Example:
1 x 9,761,429 = 9,761,429
and
-1 x -9,761,429 = 9,761,429
Notice both answers equal 9,761,429

With that explanation out of the way, let's continue. Next, we take the number 9,761,429 and divide it by 2:

9,761,429 ÷ 2 = 4,880,714.5

If the quotient is a whole number, then 2 and 4,880,714.5 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 9,761,429
-1 -9,761,429

Now, we try dividing 9,761,429 by 3:

9,761,429 ÷ 3 = 3,253,809.6667

If the quotient is a whole number, then 3 and 3,253,809.6667 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 9,761,429
-1 -9,761,429

Let's try dividing by 4:

9,761,429 ÷ 4 = 2,440,357.25

If the quotient is a whole number, then 4 and 2,440,357.25 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 9,761,429
-1 9,761,429
Keep dividing by the next highest number until you cannot divide anymore.

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

12946372713,42721,083336,6019,761,429
-1-29-463-727-13,427-21,083-336,601-9,761,429

More Examples

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