Q: What are the factor combinations of the number 7,272,925?

 A:
Positive:   1 x 72729255 x 145458511 x 66117525 x 29091753 x 13722555 x 132235265 x 27445275 x 26447499 x 14575583 x 124751325 x 54892495 x 2915
Negative: -1 x -7272925-5 x -1454585-11 x -661175-25 x -290917-53 x -137225-55 x -132235-265 x -27445-275 x -26447-499 x -14575-583 x -12475-1325 x -5489-2495 x -2915


How do I find the factor combinations of the number 7,272,925?

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 7,272,925, 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 7,272,925
-1 -7,272,925

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 7,272,925.

Example:
1 x 7,272,925 = 7,272,925
and
-1 x -7,272,925 = 7,272,925
Notice both answers equal 7,272,925

With that explanation out of the way, let's continue. Next, we take the number 7,272,925 and divide it by 2:

7,272,925 ÷ 2 = 3,636,462.5

If the quotient is a whole number, then 2 and 3,636,462.5 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 7,272,925
-1 -7,272,925

Now, we try dividing 7,272,925 by 3:

7,272,925 ÷ 3 = 2,424,308.3333

If the quotient is a whole number, then 3 and 2,424,308.3333 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 7,272,925
-1 -7,272,925

Let's try dividing by 4:

7,272,925 ÷ 4 = 1,818,231.25

If the quotient is a whole number, then 4 and 1,818,231.25 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 7,272,925
-1 7,272,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15112553552652754995831,3252,4952,9155,48912,47514,57526,44727,445132,235137,225290,917661,1751,454,5857,272,925
-1-5-11-25-53-55-265-275-499-583-1,325-2,495-2,915-5,489-12,475-14,575-26,447-27,445-132,235-137,225-290,917-661,175-1,454,585-7,272,925

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