Q: What are the factor combinations of the number 32,047,925?

 A:
Positive:   1 x 320479255 x 64095857 x 457827513 x 246522525 x 128191735 x 91565565 x 49304591 x 352175175 x 183131325 x 98609455 x 704352275 x 14087
Negative: -1 x -32047925-5 x -6409585-7 x -4578275-13 x -2465225-25 x -1281917-35 x -915655-65 x -493045-91 x -352175-175 x -183131-325 x -98609-455 x -70435-2275 x -14087


How do I find the factor combinations of the number 32,047,925?

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 32,047,925, 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 32,047,925
-1 -32,047,925

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 32,047,925.

Example:
1 x 32,047,925 = 32,047,925
and
-1 x -32,047,925 = 32,047,925
Notice both answers equal 32,047,925

With that explanation out of the way, let's continue. Next, we take the number 32,047,925 and divide it by 2:

32,047,925 ÷ 2 = 16,023,962.5

If the quotient is a whole number, then 2 and 16,023,962.5 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 32,047,925
-1 -32,047,925

Now, we try dividing 32,047,925 by 3:

32,047,925 ÷ 3 = 10,682,641.6667

If the quotient is a whole number, then 3 and 10,682,641.6667 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 32,047,925
-1 -32,047,925

Let's try dividing by 4:

32,047,925 ÷ 4 = 8,011,981.25

If the quotient is a whole number, then 4 and 8,011,981.25 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 32,047,925
-1 32,047,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,27514,08770,43598,609183,131352,175493,045915,6551,281,9172,465,2254,578,2756,409,58532,047,925
-1-5-7-13-25-35-65-91-175-325-455-2,275-14,087-70,435-98,609-183,131-352,175-493,045-915,655-1,281,917-2,465,225-4,578,275-6,409,585-32,047,925

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