Q: What are the factor combinations of the number 15,522,325?

 A:
Positive:   1 x 155223255 x 31044657 x 221747513 x 119402525 x 62089335 x 44349565 x 23880591 x 170575175 x 88699325 x 47761455 x 341152275 x 6823
Negative: -1 x -15522325-5 x -3104465-7 x -2217475-13 x -1194025-25 x -620893-35 x -443495-65 x -238805-91 x -170575-175 x -88699-325 x -47761-455 x -34115-2275 x -6823


How do I find the factor combinations of the number 15,522,325?

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 15,522,325, 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 15,522,325
-1 -15,522,325

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 15,522,325.

Example:
1 x 15,522,325 = 15,522,325
and
-1 x -15,522,325 = 15,522,325
Notice both answers equal 15,522,325

With that explanation out of the way, let's continue. Next, we take the number 15,522,325 and divide it by 2:

15,522,325 ÷ 2 = 7,761,162.5

If the quotient is a whole number, then 2 and 7,761,162.5 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 15,522,325
-1 -15,522,325

Now, we try dividing 15,522,325 by 3:

15,522,325 ÷ 3 = 5,174,108.3333

If the quotient is a whole number, then 3 and 5,174,108.3333 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 15,522,325
-1 -15,522,325

Let's try dividing by 4:

15,522,325 ÷ 4 = 3,880,581.25

If the quotient is a whole number, then 4 and 3,880,581.25 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 15,522,325
-1 15,522,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,2756,82334,11547,76188,699170,575238,805443,495620,8931,194,0252,217,4753,104,46515,522,325
-1-5-7-13-25-35-65-91-175-325-455-2,275-6,823-34,115-47,761-88,699-170,575-238,805-443,495-620,893-1,194,025-2,217,475-3,104,465-15,522,325

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