Q: What are the factor combinations of the number 8,902,357?

 A:
Positive:   1 x 890235723 x 38705953 x 16796967 x 132871109 x 816731219 x 73031541 x 57772507 x 3551
Negative: -1 x -8902357-23 x -387059-53 x -167969-67 x -132871-109 x -81673-1219 x -7303-1541 x -5777-2507 x -3551


How do I find the factor combinations of the number 8,902,357?

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 8,902,357, 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 8,902,357
-1 -8,902,357

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 8,902,357.

Example:
1 x 8,902,357 = 8,902,357
and
-1 x -8,902,357 = 8,902,357
Notice both answers equal 8,902,357

With that explanation out of the way, let's continue. Next, we take the number 8,902,357 and divide it by 2:

8,902,357 ÷ 2 = 4,451,178.5

If the quotient is a whole number, then 2 and 4,451,178.5 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 8,902,357
-1 -8,902,357

Now, we try dividing 8,902,357 by 3:

8,902,357 ÷ 3 = 2,967,452.3333

If the quotient is a whole number, then 3 and 2,967,452.3333 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 8,902,357
-1 -8,902,357

Let's try dividing by 4:

8,902,357 ÷ 4 = 2,225,589.25

If the quotient is a whole number, then 4 and 2,225,589.25 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 8,902,357
-1 8,902,357
Keep dividing by the next highest number until you cannot divide anymore.

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

12353671091,2191,5412,5073,5515,7777,30381,673132,871167,969387,0598,902,357
-1-23-53-67-109-1,219-1,541-2,507-3,551-5,777-7,303-81,673-132,871-167,969-387,059-8,902,357

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