Q: What are the factor combinations of the number 167,047,013?

 A:
Positive:   1 x 1670470137 x 2386385967 x 2493239353 x 473221469 x 3561771009 x 1655572471 x 676037063 x 23651
Negative: -1 x -167047013-7 x -23863859-67 x -2493239-353 x -473221-469 x -356177-1009 x -165557-2471 x -67603-7063 x -23651


How do I find the factor combinations of the number 167,047,013?

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 167,047,013, 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.

1 167,047,013
-1 -167,047,013

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 167,047,013.

Example:
1 x 167,047,013 = 167,047,013
and
-1 x -167,047,013 = 167,047,013
Notice both answers equal 167,047,013

With that explanation out of the way, let's continue. Next, we take the number 167,047,013 and divide it by 2:

167,047,013 ÷ 2 = 83,523,506.5

If the quotient is a whole number, then 2 and 83,523,506.5 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:

1 167,047,013
-1 -167,047,013

Now, we try dividing 167,047,013 by 3:

167,047,013 ÷ 3 = 55,682,337.6667

If the quotient is a whole number, then 3 and 55,682,337.6667 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:

1 167,047,013
-1 -167,047,013

Let's try dividing by 4:

167,047,013 ÷ 4 = 41,761,753.25

If the quotient is a whole number, then 4 and 41,761,753.25 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:

1 167,047,013
-1 167,047,013
Keep dividing by the next highest number until you cannot divide anymore.

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

17673534691,0092,4717,06323,65167,603165,557356,177473,2212,493,23923,863,859167,047,013
-1-7-67-353-469-1,009-2,471-7,063-23,651-67,603-165,557-356,177-473,221-2,493,239-23,863,859-167,047,013

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