Q: What are the factor combinations of the number 7,258,735?

 A:
Positive:   1 x 72587355 x 145174711 x 65988555 x 131977271 x 26785487 x 149051355 x 53572435 x 2981
Negative: -1 x -7258735-5 x -1451747-11 x -659885-55 x -131977-271 x -26785-487 x -14905-1355 x -5357-2435 x -2981


How do I find the factor combinations of the number 7,258,735?

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 7,258,735, 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 7,258,735
-1 -7,258,735

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 7,258,735.

Example:
1 x 7,258,735 = 7,258,735
and
-1 x -7,258,735 = 7,258,735
Notice both answers equal 7,258,735

With that explanation out of the way, let's continue. Next, we take the number 7,258,735 and divide it by 2:

7,258,735 ÷ 2 = 3,629,367.5

If the quotient is a whole number, then 2 and 3,629,367.5 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 7,258,735
-1 -7,258,735

Now, we try dividing 7,258,735 by 3:

7,258,735 ÷ 3 = 2,419,578.3333

If the quotient is a whole number, then 3 and 2,419,578.3333 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 7,258,735
-1 -7,258,735

Let's try dividing by 4:

7,258,735 ÷ 4 = 1,814,683.75

If the quotient is a whole number, then 4 and 1,814,683.75 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 7,258,735
-1 7,258,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552714871,3552,4352,9815,35714,90526,785131,977659,8851,451,7477,258,735
-1-5-11-55-271-487-1,355-2,435-2,981-5,357-14,905-26,785-131,977-659,885-1,451,747-7,258,735

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