Q: What are the factor combinations of the number 13,441,225?

 A:
Positive:   1 x 134412255 x 26882457 x 192017525 x 53764935 x 38403589 x 151025175 x 76807445 x 30205623 x 21575863 x 155752225 x 60413115 x 4315
Negative: -1 x -13441225-5 x -2688245-7 x -1920175-25 x -537649-35 x -384035-89 x -151025-175 x -76807-445 x -30205-623 x -21575-863 x -15575-2225 x -6041-3115 x -4315


How do I find the factor combinations of the number 13,441,225?

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 13,441,225, 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 13,441,225
-1 -13,441,225

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 13,441,225.

Example:
1 x 13,441,225 = 13,441,225
and
-1 x -13,441,225 = 13,441,225
Notice both answers equal 13,441,225

With that explanation out of the way, let's continue. Next, we take the number 13,441,225 and divide it by 2:

13,441,225 ÷ 2 = 6,720,612.5

If the quotient is a whole number, then 2 and 6,720,612.5 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 13,441,225
-1 -13,441,225

Now, we try dividing 13,441,225 by 3:

13,441,225 ÷ 3 = 4,480,408.3333

If the quotient is a whole number, then 3 and 4,480,408.3333 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 13,441,225
-1 -13,441,225

Let's try dividing by 4:

13,441,225 ÷ 4 = 3,360,306.25

If the quotient is a whole number, then 4 and 3,360,306.25 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 13,441,225
-1 13,441,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535891754456238632,2253,1154,3156,04115,57521,57530,20576,807151,025384,035537,6491,920,1752,688,24513,441,225
-1-5-7-25-35-89-175-445-623-863-2,225-3,115-4,315-6,041-15,575-21,575-30,205-76,807-151,025-384,035-537,649-1,920,175-2,688,245-13,441,225

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