Q: What are the factor combinations of the number 7,137,053?

 A:
Positive:   1 x 71370537 x 101957911 x 64882359 x 12096777 x 92689413 x 17281649 x 109971571 x 4543
Negative: -1 x -7137053-7 x -1019579-11 x -648823-59 x -120967-77 x -92689-413 x -17281-649 x -10997-1571 x -4543


How do I find the factor combinations of the number 7,137,053?

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 7,137,053, 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 7,137,053
-1 -7,137,053

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 7,137,053.

Example:
1 x 7,137,053 = 7,137,053
and
-1 x -7,137,053 = 7,137,053
Notice both answers equal 7,137,053

With that explanation out of the way, let's continue. Next, we take the number 7,137,053 and divide it by 2:

7,137,053 ÷ 2 = 3,568,526.5

If the quotient is a whole number, then 2 and 3,568,526.5 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 7,137,053
-1 -7,137,053

Now, we try dividing 7,137,053 by 3:

7,137,053 ÷ 3 = 2,379,017.6667

If the quotient is a whole number, then 3 and 2,379,017.6667 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 7,137,053
-1 -7,137,053

Let's try dividing by 4:

7,137,053 ÷ 4 = 1,784,263.25

If the quotient is a whole number, then 4 and 1,784,263.25 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 7,137,053
-1 7,137,053
Keep dividing by the next highest number until you cannot divide anymore.

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

171159774136491,5714,54310,99717,28192,689120,967648,8231,019,5797,137,053
-1-7-11-59-77-413-649-1,571-4,543-10,997-17,281-92,689-120,967-648,823-1,019,579-7,137,053

More Examples

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