Q: What are the factor combinations of the number 8,976,325?

 A:
Positive:   1 x 89763255 x 179526523 x 39027525 x 35905367 x 133975115 x 78055233 x 38525335 x 26795575 x 156111165 x 77051541 x 58251675 x 5359
Negative: -1 x -8976325-5 x -1795265-23 x -390275-25 x -359053-67 x -133975-115 x -78055-233 x -38525-335 x -26795-575 x -15611-1165 x -7705-1541 x -5825-1675 x -5359


How do I find the factor combinations of the number 8,976,325?

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 8,976,325, 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 8,976,325
-1 -8,976,325

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 8,976,325.

Example:
1 x 8,976,325 = 8,976,325
and
-1 x -8,976,325 = 8,976,325
Notice both answers equal 8,976,325

With that explanation out of the way, let's continue. Next, we take the number 8,976,325 and divide it by 2:

8,976,325 ÷ 2 = 4,488,162.5

If the quotient is a whole number, then 2 and 4,488,162.5 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 8,976,325
-1 -8,976,325

Now, we try dividing 8,976,325 by 3:

8,976,325 ÷ 3 = 2,992,108.3333

If the quotient is a whole number, then 3 and 2,992,108.3333 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 8,976,325
-1 -8,976,325

Let's try dividing by 4:

8,976,325 ÷ 4 = 2,244,081.25

If the quotient is a whole number, then 4 and 2,244,081.25 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 8,976,325
-1 8,976,325
Keep dividing by the next highest number until you cannot divide anymore.

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

152325671152333355751,1651,5411,6755,3595,8257,70515,61126,79538,52578,055133,975359,053390,2751,795,2658,976,325
-1-5-23-25-67-115-233-335-575-1,165-1,541-1,675-5,359-5,825-7,705-15,611-26,795-38,525-78,055-133,975-359,053-390,275-1,795,265-8,976,325

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