Q: What are the factor combinations of the number 17,363,225?

 A:
Positive:   1 x 173632255 x 347264511 x 157847525 x 69452955 x 315695103 x 168575275 x 63139515 x 33715613 x 283251133 x 153252575 x 67433065 x 5665
Negative: -1 x -17363225-5 x -3472645-11 x -1578475-25 x -694529-55 x -315695-103 x -168575-275 x -63139-515 x -33715-613 x -28325-1133 x -15325-2575 x -6743-3065 x -5665


How do I find the factor combinations of the number 17,363,225?

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 17,363,225, 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 17,363,225
-1 -17,363,225

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 17,363,225.

Example:
1 x 17,363,225 = 17,363,225
and
-1 x -17,363,225 = 17,363,225
Notice both answers equal 17,363,225

With that explanation out of the way, let's continue. Next, we take the number 17,363,225 and divide it by 2:

17,363,225 ÷ 2 = 8,681,612.5

If the quotient is a whole number, then 2 and 8,681,612.5 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 17,363,225
-1 -17,363,225

Now, we try dividing 17,363,225 by 3:

17,363,225 ÷ 3 = 5,787,741.6667

If the quotient is a whole number, then 3 and 5,787,741.6667 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 17,363,225
-1 -17,363,225

Let's try dividing by 4:

17,363,225 ÷ 4 = 4,340,806.25

If the quotient is a whole number, then 4 and 4,340,806.25 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 17,363,225
-1 17,363,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551032755156131,1332,5753,0655,6656,74315,32528,32533,71563,139168,575315,695694,5291,578,4753,472,64517,363,225
-1-5-11-25-55-103-275-515-613-1,133-2,575-3,065-5,665-6,743-15,325-28,325-33,715-63,139-168,575-315,695-694,529-1,578,475-3,472,645-17,363,225

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