Q: What are the factor combinations of the number 167,531,075?

 A:
Positive:   1 x 1675310755 x 3350621519 x 881742525 x 670124395 x 1763485361 x 464075475 x 352697977 x 1714751805 x 928154885 x 342956859 x 244259025 x 18563
Negative: -1 x -167531075-5 x -33506215-19 x -8817425-25 x -6701243-95 x -1763485-361 x -464075-475 x -352697-977 x -171475-1805 x -92815-4885 x -34295-6859 x -24425-9025 x -18563


How do I find the factor combinations of the number 167,531,075?

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 167,531,075, 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.

1 167,531,075
-1 -167,531,075

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 167,531,075.

Example:
1 x 167,531,075 = 167,531,075
and
-1 x -167,531,075 = 167,531,075
Notice both answers equal 167,531,075

With that explanation out of the way, let's continue. Next, we take the number 167,531,075 and divide it by 2:

167,531,075 ÷ 2 = 83,765,537.5

If the quotient is a whole number, then 2 and 83,765,537.5 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:

1 167,531,075
-1 -167,531,075

Now, we try dividing 167,531,075 by 3:

167,531,075 ÷ 3 = 55,843,691.6667

If the quotient is a whole number, then 3 and 55,843,691.6667 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:

1 167,531,075
-1 -167,531,075

Let's try dividing by 4:

167,531,075 ÷ 4 = 41,882,768.75

If the quotient is a whole number, then 4 and 41,882,768.75 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:

1 167,531,075
-1 167,531,075
Keep dividing by the next highest number until you cannot divide anymore.

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

151925953614759771,8054,8856,8599,02518,56324,42534,29592,815171,475352,697464,0751,763,4856,701,2438,817,42533,506,215167,531,075
-1-5-19-25-95-361-475-977-1,805-4,885-6,859-9,025-18,563-24,425-34,295-92,815-171,475-352,697-464,075-1,763,485-6,701,243-8,817,425-33,506,215-167,531,075

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