Q: What are the factor combinations of the number 10,477,397?

 A:
Positive:   1 x 104773977 x 149677123 x 45553959 x 177583161 x 65077413 x 253691103 x 94991357 x 7721
Negative: -1 x -10477397-7 x -1496771-23 x -455539-59 x -177583-161 x -65077-413 x -25369-1103 x -9499-1357 x -7721


How do I find the factor combinations of the number 10,477,397?

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 10,477,397, 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 10,477,397
-1 -10,477,397

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 10,477,397.

Example:
1 x 10,477,397 = 10,477,397
and
-1 x -10,477,397 = 10,477,397
Notice both answers equal 10,477,397

With that explanation out of the way, let's continue. Next, we take the number 10,477,397 and divide it by 2:

10,477,397 ÷ 2 = 5,238,698.5

If the quotient is a whole number, then 2 and 5,238,698.5 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 10,477,397
-1 -10,477,397

Now, we try dividing 10,477,397 by 3:

10,477,397 ÷ 3 = 3,492,465.6667

If the quotient is a whole number, then 3 and 3,492,465.6667 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 10,477,397
-1 -10,477,397

Let's try dividing by 4:

10,477,397 ÷ 4 = 2,619,349.25

If the quotient is a whole number, then 4 and 2,619,349.25 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 10,477,397
-1 10,477,397
Keep dividing by the next highest number until you cannot divide anymore.

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

1723591614131,1031,3577,7219,49925,36965,077177,583455,5391,496,77110,477,397
-1-7-23-59-161-413-1,103-1,357-7,721-9,499-25,369-65,077-177,583-455,539-1,496,771-10,477,397

More Examples

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