Q: What are the factor combinations of the number 8,977,475?

 A:
Positive:   1 x 89774755 x 179549513 x 69057523 x 39032525 x 35909965 x 138115115 x 78065299 x 30025325 x 27623575 x 156131201 x 74751495 x 6005
Negative: -1 x -8977475-5 x -1795495-13 x -690575-23 x -390325-25 x -359099-65 x -138115-115 x -78065-299 x -30025-325 x -27623-575 x -15613-1201 x -7475-1495 x -6005


How do I find the factor combinations of the number 8,977,475?

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 8,977,475, 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 8,977,475
-1 -8,977,475

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 8,977,475.

Example:
1 x 8,977,475 = 8,977,475
and
-1 x -8,977,475 = 8,977,475
Notice both answers equal 8,977,475

With that explanation out of the way, let's continue. Next, we take the number 8,977,475 and divide it by 2:

8,977,475 ÷ 2 = 4,488,737.5

If the quotient is a whole number, then 2 and 4,488,737.5 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 8,977,475
-1 -8,977,475

Now, we try dividing 8,977,475 by 3:

8,977,475 ÷ 3 = 2,992,491.6667

If the quotient is a whole number, then 3 and 2,992,491.6667 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 8,977,475
-1 -8,977,475

Let's try dividing by 4:

8,977,475 ÷ 4 = 2,244,368.75

If the quotient is a whole number, then 4 and 2,244,368.75 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 8,977,475
-1 8,977,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15132325651152993255751,2011,4956,0057,47515,61327,62330,02578,065138,115359,099390,325690,5751,795,4958,977,475
-1-5-13-23-25-65-115-299-325-575-1,201-1,495-6,005-7,475-15,613-27,623-30,025-78,065-138,115-359,099-390,325-690,575-1,795,495-8,977,475

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