Q: What are the factor combinations of the number 16,167,445?

 A:
Positive:   1 x 161674455 x 32334897 x 230963535 x 461927607 x 26635761 x 212453035 x 53273805 x 4249
Negative: -1 x -16167445-5 x -3233489-7 x -2309635-35 x -461927-607 x -26635-761 x -21245-3035 x -5327-3805 x -4249


How do I find the factor combinations of the number 16,167,445?

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 16,167,445, 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 16,167,445
-1 -16,167,445

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 16,167,445.

Example:
1 x 16,167,445 = 16,167,445
and
-1 x -16,167,445 = 16,167,445
Notice both answers equal 16,167,445

With that explanation out of the way, let's continue. Next, we take the number 16,167,445 and divide it by 2:

16,167,445 ÷ 2 = 8,083,722.5

If the quotient is a whole number, then 2 and 8,083,722.5 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 16,167,445
-1 -16,167,445

Now, we try dividing 16,167,445 by 3:

16,167,445 ÷ 3 = 5,389,148.3333

If the quotient is a whole number, then 3 and 5,389,148.3333 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 16,167,445
-1 -16,167,445

Let's try dividing by 4:

16,167,445 ÷ 4 = 4,041,861.25

If the quotient is a whole number, then 4 and 4,041,861.25 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 16,167,445
-1 16,167,445
Keep dividing by the next highest number until you cannot divide anymore.

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

157356077613,0353,8054,2495,32721,24526,635461,9272,309,6353,233,48916,167,445
-1-5-7-35-607-761-3,035-3,805-4,249-5,327-21,245-26,635-461,927-2,309,635-3,233,489-16,167,445

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