Q: What are the factor combinations of the number 9,462,479?

 A:
Positive:   1 x 946247913 x 72788359 x 16038173 x 129623169 x 55991767 x 12337949 x 99712197 x 4307
Negative: -1 x -9462479-13 x -727883-59 x -160381-73 x -129623-169 x -55991-767 x -12337-949 x -9971-2197 x -4307


How do I find the factor combinations of the number 9,462,479?

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 9,462,479, 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 9,462,479
-1 -9,462,479

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 9,462,479.

Example:
1 x 9,462,479 = 9,462,479
and
-1 x -9,462,479 = 9,462,479
Notice both answers equal 9,462,479

With that explanation out of the way, let's continue. Next, we take the number 9,462,479 and divide it by 2:

9,462,479 ÷ 2 = 4,731,239.5

If the quotient is a whole number, then 2 and 4,731,239.5 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 9,462,479
-1 -9,462,479

Now, we try dividing 9,462,479 by 3:

9,462,479 ÷ 3 = 3,154,159.6667

If the quotient is a whole number, then 3 and 3,154,159.6667 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 9,462,479
-1 -9,462,479

Let's try dividing by 4:

9,462,479 ÷ 4 = 2,365,619.75

If the quotient is a whole number, then 4 and 2,365,619.75 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 9,462,479
-1 9,462,479
Keep dividing by the next highest number until you cannot divide anymore.

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

11359731697679492,1974,3079,97112,33755,991129,623160,381727,8839,462,479
-1-13-59-73-169-767-949-2,197-4,307-9,971-12,337-55,991-129,623-160,381-727,883-9,462,479

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