Q: What are the factor combinations of the number 25,146,275?

 A:
Positive:   1 x 251462755 x 50292557 x 359232511 x 228602525 x 100585135 x 71846555 x 45720577 x 326575175 x 143693275 x 91441385 x 653151925 x 13063
Negative: -1 x -25146275-5 x -5029255-7 x -3592325-11 x -2286025-25 x -1005851-35 x -718465-55 x -457205-77 x -326575-175 x -143693-275 x -91441-385 x -65315-1925 x -13063


How do I find the factor combinations of the number 25,146,275?

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 25,146,275, 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 25,146,275
-1 -25,146,275

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 25,146,275.

Example:
1 x 25,146,275 = 25,146,275
and
-1 x -25,146,275 = 25,146,275
Notice both answers equal 25,146,275

With that explanation out of the way, let's continue. Next, we take the number 25,146,275 and divide it by 2:

25,146,275 ÷ 2 = 12,573,137.5

If the quotient is a whole number, then 2 and 12,573,137.5 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 25,146,275
-1 -25,146,275

Now, we try dividing 25,146,275 by 3:

25,146,275 ÷ 3 = 8,382,091.6667

If the quotient is a whole number, then 3 and 8,382,091.6667 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 25,146,275
-1 -25,146,275

Let's try dividing by 4:

25,146,275 ÷ 4 = 6,286,568.75

If the quotient is a whole number, then 4 and 6,286,568.75 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 25,146,275
-1 25,146,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753851,92513,06365,31591,441143,693326,575457,205718,4651,005,8512,286,0253,592,3255,029,25525,146,275
-1-5-7-11-25-35-55-77-175-275-385-1,925-13,063-65,315-91,441-143,693-326,575-457,205-718,465-1,005,851-2,286,025-3,592,325-5,029,255-25,146,275

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