Q: What are the factor combinations of the number 4,047,725?

 A:
Positive:   1 x 40477255 x 80954511 x 36797525 x 16190941 x 9872555 x 73595205 x 19745275 x 14719359 x 11275451 x 89751025 x 39491795 x 2255
Negative: -1 x -4047725-5 x -809545-11 x -367975-25 x -161909-41 x -98725-55 x -73595-205 x -19745-275 x -14719-359 x -11275-451 x -8975-1025 x -3949-1795 x -2255


How do I find the factor combinations of the number 4,047,725?

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 4,047,725, 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 4,047,725
-1 -4,047,725

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 4,047,725.

Example:
1 x 4,047,725 = 4,047,725
and
-1 x -4,047,725 = 4,047,725
Notice both answers equal 4,047,725

With that explanation out of the way, let's continue. Next, we take the number 4,047,725 and divide it by 2:

4,047,725 ÷ 2 = 2,023,862.5

If the quotient is a whole number, then 2 and 2,023,862.5 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 4,047,725
-1 -4,047,725

Now, we try dividing 4,047,725 by 3:

4,047,725 ÷ 3 = 1,349,241.6667

If the quotient is a whole number, then 3 and 1,349,241.6667 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 4,047,725
-1 -4,047,725

Let's try dividing by 4:

4,047,725 ÷ 4 = 1,011,931.25

If the quotient is a whole number, then 4 and 1,011,931.25 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 4,047,725
-1 4,047,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15112541552052753594511,0251,7952,2553,9498,97511,27514,71919,74573,59598,725161,909367,975809,5454,047,725
-1-5-11-25-41-55-205-275-359-451-1,025-1,795-2,255-3,949-8,975-11,275-14,719-19,745-73,595-98,725-161,909-367,975-809,545-4,047,725

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