Q: What are the factor combinations of the number 13,020,425?

 A:
Positive:   1 x 130204255 x 260408511 x 118367525 x 52081755 x 236735113 x 115225275 x 47347419 x 31075565 x 230451243 x 104752095 x 62152825 x 4609
Negative: -1 x -13020425-5 x -2604085-11 x -1183675-25 x -520817-55 x -236735-113 x -115225-275 x -47347-419 x -31075-565 x -23045-1243 x -10475-2095 x -6215-2825 x -4609


How do I find the factor combinations of the number 13,020,425?

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 13,020,425, 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 13,020,425
-1 -13,020,425

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 13,020,425.

Example:
1 x 13,020,425 = 13,020,425
and
-1 x -13,020,425 = 13,020,425
Notice both answers equal 13,020,425

With that explanation out of the way, let's continue. Next, we take the number 13,020,425 and divide it by 2:

13,020,425 ÷ 2 = 6,510,212.5

If the quotient is a whole number, then 2 and 6,510,212.5 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 13,020,425
-1 -13,020,425

Now, we try dividing 13,020,425 by 3:

13,020,425 ÷ 3 = 4,340,141.6667

If the quotient is a whole number, then 3 and 4,340,141.6667 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 13,020,425
-1 -13,020,425

Let's try dividing by 4:

13,020,425 ÷ 4 = 3,255,106.25

If the quotient is a whole number, then 4 and 3,255,106.25 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 13,020,425
-1 13,020,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551132754195651,2432,0952,8254,6096,21510,47523,04531,07547,347115,225236,735520,8171,183,6752,604,08513,020,425
-1-5-11-25-55-113-275-419-565-1,243-2,095-2,825-4,609-6,215-10,475-23,045-31,075-47,347-115,225-236,735-520,817-1,183,675-2,604,085-13,020,425

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