Q: What are the factor combinations of the number 162,345,575?

 A:
Positive:   1 x 1623455755 x 324691157 x 2319222525 x 649382335 x 463844549 x 3313175175 x 927689245 x 6626351225 x 132527
Negative: -1 x -162345575-5 x -32469115-7 x -23192225-25 x -6493823-35 x -4638445-49 x -3313175-175 x -927689-245 x -662635-1225 x -132527


How do I find the factor combinations of the number 162,345,575?

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 162,345,575, 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.

1 162,345,575
-1 -162,345,575

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 162,345,575.

Example:
1 x 162,345,575 = 162,345,575
and
-1 x -162,345,575 = 162,345,575
Notice both answers equal 162,345,575

With that explanation out of the way, let's continue. Next, we take the number 162,345,575 and divide it by 2:

162,345,575 ÷ 2 = 81,172,787.5

If the quotient is a whole number, then 2 and 81,172,787.5 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:

1 162,345,575
-1 -162,345,575

Now, we try dividing 162,345,575 by 3:

162,345,575 ÷ 3 = 54,115,191.6667

If the quotient is a whole number, then 3 and 54,115,191.6667 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:

1 162,345,575
-1 -162,345,575

Let's try dividing by 4:

162,345,575 ÷ 4 = 40,586,393.75

If the quotient is a whole number, then 4 and 40,586,393.75 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:

1 162,345,575
-1 162,345,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,225132,527662,635927,6893,313,1754,638,4456,493,82323,192,22532,469,115162,345,575
-1-5-7-25-35-49-175-245-1,225-132,527-662,635-927,689-3,313,175-4,638,445-6,493,823-23,192,225-32,469,115-162,345,575

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