Q: What are the factor combinations of the number 167,504,435?

 A:
Positive:   1 x 1675044355 x 335008877 x 2392920529 x 577601535 x 4785841145 x 1155203203 x 825145227 x 737905727 x 2304051015 x 1650291135 x 1475811589 x 1054153635 x 460815089 x 329156583 x 254457945 x 21083
Negative: -1 x -167504435-5 x -33500887-7 x -23929205-29 x -5776015-35 x -4785841-145 x -1155203-203 x -825145-227 x -737905-727 x -230405-1015 x -165029-1135 x -147581-1589 x -105415-3635 x -46081-5089 x -32915-6583 x -25445-7945 x -21083


How do I find the factor combinations of the number 167,504,435?

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 167,504,435, 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.

1 167,504,435
-1 -167,504,435

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 167,504,435.

Example:
1 x 167,504,435 = 167,504,435
and
-1 x -167,504,435 = 167,504,435
Notice both answers equal 167,504,435

With that explanation out of the way, let's continue. Next, we take the number 167,504,435 and divide it by 2:

167,504,435 ÷ 2 = 83,752,217.5

If the quotient is a whole number, then 2 and 83,752,217.5 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:

1 167,504,435
-1 -167,504,435

Now, we try dividing 167,504,435 by 3:

167,504,435 ÷ 3 = 55,834,811.6667

If the quotient is a whole number, then 3 and 55,834,811.6667 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:

1 167,504,435
-1 -167,504,435

Let's try dividing by 4:

167,504,435 ÷ 4 = 41,876,108.75

If the quotient is a whole number, then 4 and 41,876,108.75 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:

1 167,504,435
-1 167,504,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452032277271,0151,1351,5893,6355,0896,5837,94521,08325,44532,91546,081105,415147,581165,029230,405737,905825,1451,155,2034,785,8415,776,01523,929,20533,500,887167,504,435
-1-5-7-29-35-145-203-227-727-1,015-1,135-1,589-3,635-5,089-6,583-7,945-21,083-25,445-32,915-46,081-105,415-147,581-165,029-230,405-737,905-825,145-1,155,203-4,785,841-5,776,015-23,929,205-33,500,887-167,504,435

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