Q: What are the factor combinations of the number 7,475,495?

 A:
Positive:   1 x 74754955 x 149509917 x 43973531 x 24114585 x 87947155 x 48229527 x 141852635 x 2837
Negative: -1 x -7475495-5 x -1495099-17 x -439735-31 x -241145-85 x -87947-155 x -48229-527 x -14185-2635 x -2837


How do I find the factor combinations of the number 7,475,495?

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 7,475,495, 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 7,475,495
-1 -7,475,495

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 7,475,495.

Example:
1 x 7,475,495 = 7,475,495
and
-1 x -7,475,495 = 7,475,495
Notice both answers equal 7,475,495

With that explanation out of the way, let's continue. Next, we take the number 7,475,495 and divide it by 2:

7,475,495 ÷ 2 = 3,737,747.5

If the quotient is a whole number, then 2 and 3,737,747.5 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 7,475,495
-1 -7,475,495

Now, we try dividing 7,475,495 by 3:

7,475,495 ÷ 3 = 2,491,831.6667

If the quotient is a whole number, then 3 and 2,491,831.6667 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 7,475,495
-1 -7,475,495

Let's try dividing by 4:

7,475,495 ÷ 4 = 1,868,873.75

If the quotient is a whole number, then 4 and 1,868,873.75 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 7,475,495
-1 7,475,495
Keep dividing by the next highest number until you cannot divide anymore.

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

151731851555272,6352,83714,18548,22987,947241,145439,7351,495,0997,475,495
-1-5-17-31-85-155-527-2,635-2,837-14,185-48,229-87,947-241,145-439,735-1,495,099-7,475,495

More Examples

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