Q: What are the factor combinations of the number 6,975,475?

 A:
Positive:   1 x 69754755 x 139509513 x 53657525 x 27901965 x 107315127 x 54925169 x 41275325 x 21463635 x 10985845 x 82551651 x 42252197 x 3175
Negative: -1 x -6975475-5 x -1395095-13 x -536575-25 x -279019-65 x -107315-127 x -54925-169 x -41275-325 x -21463-635 x -10985-845 x -8255-1651 x -4225-2197 x -3175


How do I find the factor combinations of the number 6,975,475?

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 6,975,475, 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 6,975,475
-1 -6,975,475

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 6,975,475.

Example:
1 x 6,975,475 = 6,975,475
and
-1 x -6,975,475 = 6,975,475
Notice both answers equal 6,975,475

With that explanation out of the way, let's continue. Next, we take the number 6,975,475 and divide it by 2:

6,975,475 ÷ 2 = 3,487,737.5

If the quotient is a whole number, then 2 and 3,487,737.5 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 6,975,475
-1 -6,975,475

Now, we try dividing 6,975,475 by 3:

6,975,475 ÷ 3 = 2,325,158.3333

If the quotient is a whole number, then 3 and 2,325,158.3333 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 6,975,475
-1 -6,975,475

Let's try dividing by 4:

6,975,475 ÷ 4 = 1,743,868.75

If the quotient is a whole number, then 4 and 1,743,868.75 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 6,975,475
-1 6,975,475
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651271693256358451,6512,1973,1754,2258,25510,98521,46341,27554,925107,315279,019536,5751,395,0956,975,475
-1-5-13-25-65-127-169-325-635-845-1,651-2,197-3,175-4,225-8,255-10,985-21,463-41,275-54,925-107,315-279,019-536,575-1,395,095-6,975,475

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