Q: What are the factor combinations of the number 5,401,325?

 A:
Positive:   1 x 54013255 x 108026517 x 31772525 x 21605371 x 7607585 x 63545179 x 30175355 x 15215425 x 12709895 x 60351207 x 44751775 x 3043
Negative: -1 x -5401325-5 x -1080265-17 x -317725-25 x -216053-71 x -76075-85 x -63545-179 x -30175-355 x -15215-425 x -12709-895 x -6035-1207 x -4475-1775 x -3043


How do I find the factor combinations of the number 5,401,325?

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 5,401,325, 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 5,401,325
-1 -5,401,325

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 5,401,325.

Example:
1 x 5,401,325 = 5,401,325
and
-1 x -5,401,325 = 5,401,325
Notice both answers equal 5,401,325

With that explanation out of the way, let's continue. Next, we take the number 5,401,325 and divide it by 2:

5,401,325 ÷ 2 = 2,700,662.5

If the quotient is a whole number, then 2 and 2,700,662.5 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 5,401,325
-1 -5,401,325

Now, we try dividing 5,401,325 by 3:

5,401,325 ÷ 3 = 1,800,441.6667

If the quotient is a whole number, then 3 and 1,800,441.6667 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 5,401,325
-1 -5,401,325

Let's try dividing by 4:

5,401,325 ÷ 4 = 1,350,331.25

If the quotient is a whole number, then 4 and 1,350,331.25 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 5,401,325
-1 5,401,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15172571851793554258951,2071,7753,0434,4756,03512,70915,21530,17563,54576,075216,053317,7251,080,2655,401,325
-1-5-17-25-71-85-179-355-425-895-1,207-1,775-3,043-4,475-6,035-12,709-15,215-30,175-63,545-76,075-216,053-317,725-1,080,265-5,401,325

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