Q: What are the factor combinations of the number 61,471,531?

 A:
Positive:   1 x 6147153111 x 5588321109 x 563959167 x 368093307 x 2002331199 x 512691837 x 334633377 x 18203
Negative: -1 x -61471531-11 x -5588321-109 x -563959-167 x -368093-307 x -200233-1199 x -51269-1837 x -33463-3377 x -18203


How do I find the factor combinations of the number 61,471,531?

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 61,471,531, 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 61,471,531
-1 -61,471,531

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 61,471,531.

Example:
1 x 61,471,531 = 61,471,531
and
-1 x -61,471,531 = 61,471,531
Notice both answers equal 61,471,531

With that explanation out of the way, let's continue. Next, we take the number 61,471,531 and divide it by 2:

61,471,531 ÷ 2 = 30,735,765.5

If the quotient is a whole number, then 2 and 30,735,765.5 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 61,471,531
-1 -61,471,531

Now, we try dividing 61,471,531 by 3:

61,471,531 ÷ 3 = 20,490,510.3333

If the quotient is a whole number, then 3 and 20,490,510.3333 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 61,471,531
-1 -61,471,531

Let's try dividing by 4:

61,471,531 ÷ 4 = 15,367,882.75

If the quotient is a whole number, then 4 and 15,367,882.75 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 61,471,531
-1 61,471,531
Keep dividing by the next highest number until you cannot divide anymore.

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

1111091673071,1991,8373,37718,20333,46351,269200,233368,093563,9595,588,32161,471,531
-1-11-109-167-307-1,199-1,837-3,377-18,203-33,463-51,269-200,233-368,093-563,959-5,588,321-61,471,531

More Examples

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