Q: What are the factor combinations of the number 167,713,325?

 A:
Positive:   1 x 1677133255 x 3354266513 x 1290102525 x 670853365 x 2580205325 x 516041491 x 3415751051 x 1595752455 x 683155255 x 319156383 x 2627512275 x 13663
Negative: -1 x -167713325-5 x -33542665-13 x -12901025-25 x -6708533-65 x -2580205-325 x -516041-491 x -341575-1051 x -159575-2455 x -68315-5255 x -31915-6383 x -26275-12275 x -13663


How do I find the factor combinations of the number 167,713,325?

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 167,713,325, 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.

1 167,713,325
-1 -167,713,325

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 167,713,325.

Example:
1 x 167,713,325 = 167,713,325
and
-1 x -167,713,325 = 167,713,325
Notice both answers equal 167,713,325

With that explanation out of the way, let's continue. Next, we take the number 167,713,325 and divide it by 2:

167,713,325 ÷ 2 = 83,856,662.5

If the quotient is a whole number, then 2 and 83,856,662.5 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:

1 167,713,325
-1 -167,713,325

Now, we try dividing 167,713,325 by 3:

167,713,325 ÷ 3 = 55,904,441.6667

If the quotient is a whole number, then 3 and 55,904,441.6667 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:

1 167,713,325
-1 -167,713,325

Let's try dividing by 4:

167,713,325 ÷ 4 = 41,928,331.25

If the quotient is a whole number, then 4 and 41,928,331.25 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:

1 167,713,325
-1 167,713,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151325653254911,0512,4555,2556,38312,27513,66326,27531,91568,315159,575341,575516,0412,580,2056,708,53312,901,02533,542,665167,713,325
-1-5-13-25-65-325-491-1,051-2,455-5,255-6,383-12,275-13,663-26,275-31,915-68,315-159,575-341,575-516,041-2,580,205-6,708,533-12,901,025-33,542,665-167,713,325

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