Q: What are the factor combinations of the number 31,767,175?

 A:
Positive:   1 x 317671755 x 635343511 x 288792525 x 127068755 x 57758571 x 447425275 x 115517355 x 89485781 x 406751627 x 195251775 x 178973905 x 8135
Negative: -1 x -31767175-5 x -6353435-11 x -2887925-25 x -1270687-55 x -577585-71 x -447425-275 x -115517-355 x -89485-781 x -40675-1627 x -19525-1775 x -17897-3905 x -8135


How do I find the factor combinations of the number 31,767,175?

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 31,767,175, 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 31,767,175
-1 -31,767,175

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 31,767,175.

Example:
1 x 31,767,175 = 31,767,175
and
-1 x -31,767,175 = 31,767,175
Notice both answers equal 31,767,175

With that explanation out of the way, let's continue. Next, we take the number 31,767,175 and divide it by 2:

31,767,175 ÷ 2 = 15,883,587.5

If the quotient is a whole number, then 2 and 15,883,587.5 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 31,767,175
-1 -31,767,175

Now, we try dividing 31,767,175 by 3:

31,767,175 ÷ 3 = 10,589,058.3333

If the quotient is a whole number, then 3 and 10,589,058.3333 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 31,767,175
-1 -31,767,175

Let's try dividing by 4:

31,767,175 ÷ 4 = 7,941,793.75

If the quotient is a whole number, then 4 and 7,941,793.75 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 31,767,175
-1 31,767,175
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555712753557811,6271,7753,9058,13517,89719,52540,67589,485115,517447,425577,5851,270,6872,887,9256,353,43531,767,175
-1-5-11-25-55-71-275-355-781-1,627-1,775-3,905-8,135-17,897-19,525-40,675-89,485-115,517-447,425-577,585-1,270,687-2,887,925-6,353,435-31,767,175

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