Q: What are the factor combinations of the number 5,060,725?

 A:
Positive:   1 x 50607255 x 101214525 x 20242947 x 10767559 x 8577573 x 69325235 x 21535295 x 17155365 x 138651175 x 43071475 x 34311825 x 2773
Negative: -1 x -5060725-5 x -1012145-25 x -202429-47 x -107675-59 x -85775-73 x -69325-235 x -21535-295 x -17155-365 x -13865-1175 x -4307-1475 x -3431-1825 x -2773


How do I find the factor combinations of the number 5,060,725?

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 5,060,725, 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 5,060,725
-1 -5,060,725

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 5,060,725.

Example:
1 x 5,060,725 = 5,060,725
and
-1 x -5,060,725 = 5,060,725
Notice both answers equal 5,060,725

With that explanation out of the way, let's continue. Next, we take the number 5,060,725 and divide it by 2:

5,060,725 ÷ 2 = 2,530,362.5

If the quotient is a whole number, then 2 and 2,530,362.5 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 5,060,725
-1 -5,060,725

Now, we try dividing 5,060,725 by 3:

5,060,725 ÷ 3 = 1,686,908.3333

If the quotient is a whole number, then 3 and 1,686,908.3333 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 5,060,725
-1 -5,060,725

Let's try dividing by 4:

5,060,725 ÷ 4 = 1,265,181.25

If the quotient is a whole number, then 4 and 1,265,181.25 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 5,060,725
-1 5,060,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15254759732352953651,1751,4751,8252,7733,4314,30713,86517,15521,53569,32585,775107,675202,4291,012,1455,060,725
-1-5-25-47-59-73-235-295-365-1,175-1,475-1,825-2,773-3,431-4,307-13,865-17,155-21,535-69,325-85,775-107,675-202,429-1,012,145-5,060,725

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