Q: What are the factor combinations of the number 167,635,853?

 A:
Positive:   1 x 1676358537 x 2394797911 x 1523962377 x 2177089131 x 1279663917 x 1828091441 x 11633310087 x 16619
Negative: -1 x -167635853-7 x -23947979-11 x -15239623-77 x -2177089-131 x -1279663-917 x -182809-1441 x -116333-10087 x -16619


How do I find the factor combinations of the number 167,635,853?

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 167,635,853, 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.

1 167,635,853
-1 -167,635,853

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 167,635,853.

Example:
1 x 167,635,853 = 167,635,853
and
-1 x -167,635,853 = 167,635,853
Notice both answers equal 167,635,853

With that explanation out of the way, let's continue. Next, we take the number 167,635,853 and divide it by 2:

167,635,853 ÷ 2 = 83,817,926.5

If the quotient is a whole number, then 2 and 83,817,926.5 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:

1 167,635,853
-1 -167,635,853

Now, we try dividing 167,635,853 by 3:

167,635,853 ÷ 3 = 55,878,617.6667

If the quotient is a whole number, then 3 and 55,878,617.6667 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:

1 167,635,853
-1 -167,635,853

Let's try dividing by 4:

167,635,853 ÷ 4 = 41,908,963.25

If the quotient is a whole number, then 4 and 41,908,963.25 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:

1 167,635,853
-1 167,635,853
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771319171,44110,08716,619116,333182,8091,279,6632,177,08915,239,62323,947,979167,635,853
-1-7-11-77-131-917-1,441-10,087-16,619-116,333-182,809-1,279,663-2,177,089-15,239,623-23,947,979-167,635,853

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