Q: What are the factor combinations of the number 15,402,275?

 A:
Positive:   1 x 154022755 x 30804557 x 220032525 x 61609135 x 440065175 x 88013283 x 54425311 x 495251415 x 108851555 x 99051981 x 77752177 x 7075
Negative: -1 x -15402275-5 x -3080455-7 x -2200325-25 x -616091-35 x -440065-175 x -88013-283 x -54425-311 x -49525-1415 x -10885-1555 x -9905-1981 x -7775-2177 x -7075


How do I find the factor combinations of the number 15,402,275?

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 15,402,275, 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 15,402,275
-1 -15,402,275

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 15,402,275.

Example:
1 x 15,402,275 = 15,402,275
and
-1 x -15,402,275 = 15,402,275
Notice both answers equal 15,402,275

With that explanation out of the way, let's continue. Next, we take the number 15,402,275 and divide it by 2:

15,402,275 ÷ 2 = 7,701,137.5

If the quotient is a whole number, then 2 and 7,701,137.5 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 15,402,275
-1 -15,402,275

Now, we try dividing 15,402,275 by 3:

15,402,275 ÷ 3 = 5,134,091.6667

If the quotient is a whole number, then 3 and 5,134,091.6667 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 15,402,275
-1 -15,402,275

Let's try dividing by 4:

15,402,275 ÷ 4 = 3,850,568.75

If the quotient is a whole number, then 4 and 3,850,568.75 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 15,402,275
-1 15,402,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752833111,4151,5551,9812,1777,0757,7759,90510,88549,52554,42588,013440,065616,0912,200,3253,080,45515,402,275
-1-5-7-25-35-175-283-311-1,415-1,555-1,981-2,177-7,075-7,775-9,905-10,885-49,525-54,425-88,013-440,065-616,091-2,200,325-3,080,455-15,402,275

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