Q: What are the factor combinations of the number 15,252,325?

 A:
Positive:   1 x 152523255 x 305046511 x 138657525 x 61009337 x 41222555 x 277315185 x 82445275 x 55463407 x 37475925 x 164891499 x 101752035 x 7495
Negative: -1 x -15252325-5 x -3050465-11 x -1386575-25 x -610093-37 x -412225-55 x -277315-185 x -82445-275 x -55463-407 x -37475-925 x -16489-1499 x -10175-2035 x -7495


How do I find the factor combinations of the number 15,252,325?

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 15,252,325, 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 15,252,325
-1 -15,252,325

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 15,252,325.

Example:
1 x 15,252,325 = 15,252,325
and
-1 x -15,252,325 = 15,252,325
Notice both answers equal 15,252,325

With that explanation out of the way, let's continue. Next, we take the number 15,252,325 and divide it by 2:

15,252,325 ÷ 2 = 7,626,162.5

If the quotient is a whole number, then 2 and 7,626,162.5 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 15,252,325
-1 -15,252,325

Now, we try dividing 15,252,325 by 3:

15,252,325 ÷ 3 = 5,084,108.3333

If the quotient is a whole number, then 3 and 5,084,108.3333 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 15,252,325
-1 -15,252,325

Let's try dividing by 4:

15,252,325 ÷ 4 = 3,813,081.25

If the quotient is a whole number, then 4 and 3,813,081.25 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 15,252,325
-1 15,252,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15112537551852754079251,4992,0357,49510,17516,48937,47555,46382,445277,315412,225610,0931,386,5753,050,46515,252,325
-1-5-11-25-37-55-185-275-407-925-1,499-2,035-7,495-10,175-16,489-37,475-55,463-82,445-277,315-412,225-610,093-1,386,575-3,050,465-15,252,325

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