Q: What are the factor combinations of the number 167,107,175?

 A:
Positive:   1 x 1671071755 x 3342143525 x 668428759 x 2832325277 x 603275295 x 566465409 x 4085751385 x 1206551475 x 1132932045 x 817156925 x 2413110225 x 16343
Negative: -1 x -167107175-5 x -33421435-25 x -6684287-59 x -2832325-277 x -603275-295 x -566465-409 x -408575-1385 x -120655-1475 x -113293-2045 x -81715-6925 x -24131-10225 x -16343


How do I find the factor combinations of the number 167,107,175?

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 167,107,175, 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.

1 167,107,175
-1 -167,107,175

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 167,107,175.

Example:
1 x 167,107,175 = 167,107,175
and
-1 x -167,107,175 = 167,107,175
Notice both answers equal 167,107,175

With that explanation out of the way, let's continue. Next, we take the number 167,107,175 and divide it by 2:

167,107,175 ÷ 2 = 83,553,587.5

If the quotient is a whole number, then 2 and 83,553,587.5 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:

1 167,107,175
-1 -167,107,175

Now, we try dividing 167,107,175 by 3:

167,107,175 ÷ 3 = 55,702,391.6667

If the quotient is a whole number, then 3 and 55,702,391.6667 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:

1 167,107,175
-1 -167,107,175

Let's try dividing by 4:

167,107,175 ÷ 4 = 41,776,793.75

If the quotient is a whole number, then 4 and 41,776,793.75 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:

1 167,107,175
-1 167,107,175
Keep dividing by the next highest number until you cannot divide anymore.

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

1525592772954091,3851,4752,0456,92510,22516,34324,13181,715113,293120,655408,575566,465603,2752,832,3256,684,28733,421,435167,107,175
-1-5-25-59-277-295-409-1,385-1,475-2,045-6,925-10,225-16,343-24,131-81,715-113,293-120,655-408,575-566,465-603,275-2,832,325-6,684,287-33,421,435-167,107,175

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