Q: What are the factor combinations of the number 7,422,875?

 A:
Positive:   1 x 74228755 x 148457525 x 29691543 x 172625125 x 59383215 x 345251075 x 69051381 x 5375
Negative: -1 x -7422875-5 x -1484575-25 x -296915-43 x -172625-125 x -59383-215 x -34525-1075 x -6905-1381 x -5375


How do I find the factor combinations of the number 7,422,875?

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 7,422,875, 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 7,422,875
-1 -7,422,875

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 7,422,875.

Example:
1 x 7,422,875 = 7,422,875
and
-1 x -7,422,875 = 7,422,875
Notice both answers equal 7,422,875

With that explanation out of the way, let's continue. Next, we take the number 7,422,875 and divide it by 2:

7,422,875 ÷ 2 = 3,711,437.5

If the quotient is a whole number, then 2 and 3,711,437.5 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 7,422,875
-1 -7,422,875

Now, we try dividing 7,422,875 by 3:

7,422,875 ÷ 3 = 2,474,291.6667

If the quotient is a whole number, then 3 and 2,474,291.6667 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 7,422,875
-1 -7,422,875

Let's try dividing by 4:

7,422,875 ÷ 4 = 1,855,718.75

If the quotient is a whole number, then 4 and 1,855,718.75 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 7,422,875
-1 7,422,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431252151,0751,3815,3756,90534,52559,383172,625296,9151,484,5757,422,875
-1-5-25-43-125-215-1,075-1,381-5,375-6,905-34,525-59,383-172,625-296,915-1,484,575-7,422,875

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,422,875:


Ask a Question