Q: What are the factor combinations of the number 167,321,275?

 A:
Positive:   1 x 1673212755 x 3346425511 x 1521102525 x 669285155 x 3042205173 x 967175275 x 608441865 x 1934351903 x 879253517 x 475754325 x 386879515 x 17585
Negative: -1 x -167321275-5 x -33464255-11 x -15211025-25 x -6692851-55 x -3042205-173 x -967175-275 x -608441-865 x -193435-1903 x -87925-3517 x -47575-4325 x -38687-9515 x -17585


How do I find the factor combinations of the number 167,321,275?

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 167,321,275, 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.

1 167,321,275
-1 -167,321,275

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 167,321,275.

Example:
1 x 167,321,275 = 167,321,275
and
-1 x -167,321,275 = 167,321,275
Notice both answers equal 167,321,275

With that explanation out of the way, let's continue. Next, we take the number 167,321,275 and divide it by 2:

167,321,275 ÷ 2 = 83,660,637.5

If the quotient is a whole number, then 2 and 83,660,637.5 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:

1 167,321,275
-1 -167,321,275

Now, we try dividing 167,321,275 by 3:

167,321,275 ÷ 3 = 55,773,758.3333

If the quotient is a whole number, then 3 and 55,773,758.3333 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:

1 167,321,275
-1 -167,321,275

Let's try dividing by 4:

167,321,275 ÷ 4 = 41,830,318.75

If the quotient is a whole number, then 4 and 41,830,318.75 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:

1 167,321,275
-1 167,321,275
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551732758651,9033,5174,3259,51517,58538,68747,57587,925193,435608,441967,1753,042,2056,692,85115,211,02533,464,255167,321,275
-1-5-11-25-55-173-275-865-1,903-3,517-4,325-9,515-17,585-38,687-47,575-87,925-193,435-608,441-967,175-3,042,205-6,692,851-15,211,025-33,464,255-167,321,275

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