Q: What are the factor combinations of the number 165,426,575?

 A:
Positive:   1 x 1654265755 x 3308531517 x 973097525 x 661706385 x 1946195109 x 1517675425 x 389239545 x 3035351853 x 892752725 x 607073571 x 463259265 x 17855
Negative: -1 x -165426575-5 x -33085315-17 x -9730975-25 x -6617063-85 x -1946195-109 x -1517675-425 x -389239-545 x -303535-1853 x -89275-2725 x -60707-3571 x -46325-9265 x -17855


How do I find the factor combinations of the number 165,426,575?

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 165,426,575, 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.

1 165,426,575
-1 -165,426,575

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 165,426,575.

Example:
1 x 165,426,575 = 165,426,575
and
-1 x -165,426,575 = 165,426,575
Notice both answers equal 165,426,575

With that explanation out of the way, let's continue. Next, we take the number 165,426,575 and divide it by 2:

165,426,575 ÷ 2 = 82,713,287.5

If the quotient is a whole number, then 2 and 82,713,287.5 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:

1 165,426,575
-1 -165,426,575

Now, we try dividing 165,426,575 by 3:

165,426,575 ÷ 3 = 55,142,191.6667

If the quotient is a whole number, then 3 and 55,142,191.6667 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:

1 165,426,575
-1 -165,426,575

Let's try dividing by 4:

165,426,575 ÷ 4 = 41,356,643.75

If the quotient is a whole number, then 4 and 41,356,643.75 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:

1 165,426,575
-1 165,426,575
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851094255451,8532,7253,5719,26517,85546,32560,70789,275303,535389,2391,517,6751,946,1956,617,0639,730,97533,085,315165,426,575
-1-5-17-25-85-109-425-545-1,853-2,725-3,571-9,265-17,855-46,325-60,707-89,275-303,535-389,239-1,517,675-1,946,195-6,617,063-9,730,975-33,085,315-165,426,575

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