Q: What are the factor combinations of the number 168,524,515?

 A:
Positive:   1 x 1685245155 x 3370490373 x 2308555365 x 461711397 x 4244951163 x 1449051985 x 848995815 x 28981
Negative: -1 x -168524515-5 x -33704903-73 x -2308555-365 x -461711-397 x -424495-1163 x -144905-1985 x -84899-5815 x -28981


How do I find the factor combinations of the number 168,524,515?

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 168,524,515, 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.

1 168,524,515
-1 -168,524,515

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 168,524,515.

Example:
1 x 168,524,515 = 168,524,515
and
-1 x -168,524,515 = 168,524,515
Notice both answers equal 168,524,515

With that explanation out of the way, let's continue. Next, we take the number 168,524,515 and divide it by 2:

168,524,515 ÷ 2 = 84,262,257.5

If the quotient is a whole number, then 2 and 84,262,257.5 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:

1 168,524,515
-1 -168,524,515

Now, we try dividing 168,524,515 by 3:

168,524,515 ÷ 3 = 56,174,838.3333

If the quotient is a whole number, then 3 and 56,174,838.3333 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:

1 168,524,515
-1 -168,524,515

Let's try dividing by 4:

168,524,515 ÷ 4 = 42,131,128.75

If the quotient is a whole number, then 4 and 42,131,128.75 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:

1 168,524,515
-1 168,524,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15733653971,1631,9855,81528,98184,899144,905424,495461,7112,308,55533,704,903168,524,515
-1-5-73-365-397-1,163-1,985-5,815-28,981-84,899-144,905-424,495-461,711-2,308,555-33,704,903-168,524,515

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