Q: What are the factor combinations of the number 71,214,913?

 A:
Positive:   1 x 712149137 x 1017355911 x 647408377 x 92486983 x 858011121 x 588553581 x 122573847 x 84079913 x 780011013 x 703016391 x 111437091 x 10043
Negative: -1 x -71214913-7 x -10173559-11 x -6474083-77 x -924869-83 x -858011-121 x -588553-581 x -122573-847 x -84079-913 x -78001-1013 x -70301-6391 x -11143-7091 x -10043


How do I find the factor combinations of the number 71,214,913?

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 71,214,913, 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 71,214,913
-1 -71,214,913

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 71,214,913.

Example:
1 x 71,214,913 = 71,214,913
and
-1 x -71,214,913 = 71,214,913
Notice both answers equal 71,214,913

With that explanation out of the way, let's continue. Next, we take the number 71,214,913 and divide it by 2:

71,214,913 ÷ 2 = 35,607,456.5

If the quotient is a whole number, then 2 and 35,607,456.5 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 71,214,913
-1 -71,214,913

Now, we try dividing 71,214,913 by 3:

71,214,913 ÷ 3 = 23,738,304.3333

If the quotient is a whole number, then 3 and 23,738,304.3333 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 71,214,913
-1 -71,214,913

Let's try dividing by 4:

71,214,913 ÷ 4 = 17,803,728.25

If the quotient is a whole number, then 4 and 17,803,728.25 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 71,214,913
-1 71,214,913
Keep dividing by the next highest number until you cannot divide anymore.

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

171177831215818479131,0136,3917,09110,04311,14370,30178,00184,079122,573588,553858,011924,8696,474,08310,173,55971,214,913
-1-7-11-77-83-121-581-847-913-1,013-6,391-7,091-10,043-11,143-70,301-78,001-84,079-122,573-588,553-858,011-924,869-6,474,083-10,173,559-71,214,913

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