Q: What are the factor combinations of the number 60,607,225?

 A:
Positive:   1 x 606072255 x 121214457 x 865817525 x 242428935 x 173163541 x 1478225175 x 346327205 x 295645287 x 2111751025 x 591291435 x 422357175 x 8447
Negative: -1 x -60607225-5 x -12121445-7 x -8658175-25 x -2424289-35 x -1731635-41 x -1478225-175 x -346327-205 x -295645-287 x -211175-1025 x -59129-1435 x -42235-7175 x -8447


How do I find the factor combinations of the number 60,607,225?

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 60,607,225, 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 60,607,225
-1 -60,607,225

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 60,607,225.

Example:
1 x 60,607,225 = 60,607,225
and
-1 x -60,607,225 = 60,607,225
Notice both answers equal 60,607,225

With that explanation out of the way, let's continue. Next, we take the number 60,607,225 and divide it by 2:

60,607,225 ÷ 2 = 30,303,612.5

If the quotient is a whole number, then 2 and 30,303,612.5 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 60,607,225
-1 -60,607,225

Now, we try dividing 60,607,225 by 3:

60,607,225 ÷ 3 = 20,202,408.3333

If the quotient is a whole number, then 3 and 20,202,408.3333 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 60,607,225
-1 -60,607,225

Let's try dividing by 4:

60,607,225 ÷ 4 = 15,151,806.25

If the quotient is a whole number, then 4 and 15,151,806.25 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 60,607,225
-1 60,607,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535411752052871,0251,4357,1758,44742,23559,129211,175295,645346,3271,478,2251,731,6352,424,2898,658,17512,121,44560,607,225
-1-5-7-25-35-41-175-205-287-1,025-1,435-7,175-8,447-42,235-59,129-211,175-295,645-346,327-1,478,225-1,731,635-2,424,289-8,658,175-12,121,445-60,607,225

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