Q: What are the factor combinations of the number 7,146,307?

 A:
Positive:   1 x 71463077 x 102090117 x 42037123 x 31070949 x 145843119 x 60053161 x 44387373 x 19159391 x 18277833 x 85791127 x 63412611 x 2737
Negative: -1 x -7146307-7 x -1020901-17 x -420371-23 x -310709-49 x -145843-119 x -60053-161 x -44387-373 x -19159-391 x -18277-833 x -8579-1127 x -6341-2611 x -2737


How do I find the factor combinations of the number 7,146,307?

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 7,146,307, 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 7,146,307
-1 -7,146,307

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 7,146,307.

Example:
1 x 7,146,307 = 7,146,307
and
-1 x -7,146,307 = 7,146,307
Notice both answers equal 7,146,307

With that explanation out of the way, let's continue. Next, we take the number 7,146,307 and divide it by 2:

7,146,307 ÷ 2 = 3,573,153.5

If the quotient is a whole number, then 2 and 3,573,153.5 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 7,146,307
-1 -7,146,307

Now, we try dividing 7,146,307 by 3:

7,146,307 ÷ 3 = 2,382,102.3333

If the quotient is a whole number, then 3 and 2,382,102.3333 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 7,146,307
-1 -7,146,307

Let's try dividing by 4:

7,146,307 ÷ 4 = 1,786,576.75

If the quotient is a whole number, then 4 and 1,786,576.75 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 7,146,307
-1 7,146,307
Keep dividing by the next highest number until you cannot divide anymore.

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

171723491191613733918331,1272,6112,7376,3418,57918,27719,15944,38760,053145,843310,709420,3711,020,9017,146,307
-1-7-17-23-49-119-161-373-391-833-1,127-2,611-2,737-6,341-8,579-18,277-19,159-44,387-60,053-145,843-310,709-420,371-1,020,901-7,146,307

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