Q: What are the factor combinations of the number 7,387,375?

 A:
Positive:   1 x 73873755 x 147747525 x 295495113 x 65375125 x 59099523 x 14125565 x 130752615 x 2825
Negative: -1 x -7387375-5 x -1477475-25 x -295495-113 x -65375-125 x -59099-523 x -14125-565 x -13075-2615 x -2825


How do I find the factor combinations of the number 7,387,375?

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 7,387,375, 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 7,387,375
-1 -7,387,375

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 7,387,375.

Example:
1 x 7,387,375 = 7,387,375
and
-1 x -7,387,375 = 7,387,375
Notice both answers equal 7,387,375

With that explanation out of the way, let's continue. Next, we take the number 7,387,375 and divide it by 2:

7,387,375 ÷ 2 = 3,693,687.5

If the quotient is a whole number, then 2 and 3,693,687.5 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 7,387,375
-1 -7,387,375

Now, we try dividing 7,387,375 by 3:

7,387,375 ÷ 3 = 2,462,458.3333

If the quotient is a whole number, then 3 and 2,462,458.3333 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 7,387,375
-1 -7,387,375

Let's try dividing by 4:

7,387,375 ÷ 4 = 1,846,843.75

If the quotient is a whole number, then 4 and 1,846,843.75 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 7,387,375
-1 7,387,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251131255235652,6152,82513,07514,12559,09965,375295,4951,477,4757,387,375
-1-5-25-113-125-523-565-2,615-2,825-13,075-14,125-59,099-65,375-295,495-1,477,475-7,387,375

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,387,375:


Ask a Question