Q: What are the factor combinations of the number 162,445,435?

 A:
Positive:   1 x 1624454355 x 3248908723 x 7062845115 x 1412569313 x 5189951565 x 1037994513 x 359957199 x 22565
Negative: -1 x -162445435-5 x -32489087-23 x -7062845-115 x -1412569-313 x -518995-1565 x -103799-4513 x -35995-7199 x -22565


How do I find the factor combinations of the number 162,445,435?

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 162,445,435, 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.

1 162,445,435
-1 -162,445,435

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 162,445,435.

Example:
1 x 162,445,435 = 162,445,435
and
-1 x -162,445,435 = 162,445,435
Notice both answers equal 162,445,435

With that explanation out of the way, let's continue. Next, we take the number 162,445,435 and divide it by 2:

162,445,435 ÷ 2 = 81,222,717.5

If the quotient is a whole number, then 2 and 81,222,717.5 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:

1 162,445,435
-1 -162,445,435

Now, we try dividing 162,445,435 by 3:

162,445,435 ÷ 3 = 54,148,478.3333

If the quotient is a whole number, then 3 and 54,148,478.3333 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:

1 162,445,435
-1 -162,445,435

Let's try dividing by 4:

162,445,435 ÷ 4 = 40,611,358.75

If the quotient is a whole number, then 4 and 40,611,358.75 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:

1 162,445,435
-1 162,445,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15231153131,5654,5137,19922,56535,995103,799518,9951,412,5697,062,84532,489,087162,445,435
-1-5-23-115-313-1,565-4,513-7,199-22,565-35,995-103,799-518,995-1,412,569-7,062,845-32,489,087-162,445,435

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