Q: What are the factor combinations of the number 60,636,163?

 A:
Positive:   1 x 606361637 x 866230919 x 3191377133 x 455911163 x 3720011141 x 531432797 x 216793097 x 19579
Negative: -1 x -60636163-7 x -8662309-19 x -3191377-133 x -455911-163 x -372001-1141 x -53143-2797 x -21679-3097 x -19579


How do I find the factor combinations of the number 60,636,163?

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 60,636,163, 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 60,636,163
-1 -60,636,163

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 60,636,163.

Example:
1 x 60,636,163 = 60,636,163
and
-1 x -60,636,163 = 60,636,163
Notice both answers equal 60,636,163

With that explanation out of the way, let's continue. Next, we take the number 60,636,163 and divide it by 2:

60,636,163 ÷ 2 = 30,318,081.5

If the quotient is a whole number, then 2 and 30,318,081.5 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 60,636,163
-1 -60,636,163

Now, we try dividing 60,636,163 by 3:

60,636,163 ÷ 3 = 20,212,054.3333

If the quotient is a whole number, then 3 and 20,212,054.3333 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 60,636,163
-1 -60,636,163

Let's try dividing by 4:

60,636,163 ÷ 4 = 15,159,040.75

If the quotient is a whole number, then 4 and 15,159,040.75 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 60,636,163
-1 60,636,163
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331631,1412,7973,09719,57921,67953,143372,001455,9113,191,3778,662,30960,636,163
-1-7-19-133-163-1,141-2,797-3,097-19,579-21,679-53,143-372,001-455,911-3,191,377-8,662,309-60,636,163

More Examples

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