Q: What are the factor combinations of the number 16,342,975?

 A:
Positive:   1 x 163429755 x 326859511 x 148572525 x 65371955 x 29714567 x 243925275 x 59429335 x 48785737 x 22175887 x 184251675 x 97573685 x 4435
Negative: -1 x -16342975-5 x -3268595-11 x -1485725-25 x -653719-55 x -297145-67 x -243925-275 x -59429-335 x -48785-737 x -22175-887 x -18425-1675 x -9757-3685 x -4435


How do I find the factor combinations of the number 16,342,975?

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 16,342,975, 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 16,342,975
-1 -16,342,975

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 16,342,975.

Example:
1 x 16,342,975 = 16,342,975
and
-1 x -16,342,975 = 16,342,975
Notice both answers equal 16,342,975

With that explanation out of the way, let's continue. Next, we take the number 16,342,975 and divide it by 2:

16,342,975 ÷ 2 = 8,171,487.5

If the quotient is a whole number, then 2 and 8,171,487.5 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 16,342,975
-1 -16,342,975

Now, we try dividing 16,342,975 by 3:

16,342,975 ÷ 3 = 5,447,658.3333

If the quotient is a whole number, then 3 and 5,447,658.3333 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 16,342,975
-1 -16,342,975

Let's try dividing by 4:

16,342,975 ÷ 4 = 4,085,743.75

If the quotient is a whole number, then 4 and 4,085,743.75 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 16,342,975
-1 16,342,975
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555672753357378871,6753,6854,4359,75718,42522,17548,78559,429243,925297,145653,7191,485,7253,268,59516,342,975
-1-5-11-25-55-67-275-335-737-887-1,675-3,685-4,435-9,757-18,425-22,175-48,785-59,429-243,925-297,145-653,719-1,485,725-3,268,595-16,342,975

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