Q: What are the factor combinations of the number 5,421,175?

 A:
Positive:   1 x 54211755 x 108423519 x 28532525 x 21684795 x 57065101 x 53675113 x 47975475 x 11413505 x 10735565 x 95951919 x 28252147 x 2525
Negative: -1 x -5421175-5 x -1084235-19 x -285325-25 x -216847-95 x -57065-101 x -53675-113 x -47975-475 x -11413-505 x -10735-565 x -9595-1919 x -2825-2147 x -2525


How do I find the factor combinations of the number 5,421,175?

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 5,421,175, 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 5,421,175
-1 -5,421,175

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 5,421,175.

Example:
1 x 5,421,175 = 5,421,175
and
-1 x -5,421,175 = 5,421,175
Notice both answers equal 5,421,175

With that explanation out of the way, let's continue. Next, we take the number 5,421,175 and divide it by 2:

5,421,175 ÷ 2 = 2,710,587.5

If the quotient is a whole number, then 2 and 2,710,587.5 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 5,421,175
-1 -5,421,175

Now, we try dividing 5,421,175 by 3:

5,421,175 ÷ 3 = 1,807,058.3333

If the quotient is a whole number, then 3 and 1,807,058.3333 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 5,421,175
-1 -5,421,175

Let's try dividing by 4:

5,421,175 ÷ 4 = 1,355,293.75

If the quotient is a whole number, then 4 and 1,355,293.75 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 5,421,175
-1 5,421,175
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951011134755055651,9192,1472,5252,8259,59510,73511,41347,97553,67557,065216,847285,3251,084,2355,421,175
-1-5-19-25-95-101-113-475-505-565-1,919-2,147-2,525-2,825-9,595-10,735-11,413-47,975-53,675-57,065-216,847-285,325-1,084,235-5,421,175

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