Q: What are the factor combinations of the number 7,520,879?

 A:
Positive:   1 x 752087931 x 24260937 x 20326779 x 9520183 x 906131147 x 65572449 x 30712573 x 2923
Negative: -1 x -7520879-31 x -242609-37 x -203267-79 x -95201-83 x -90613-1147 x -6557-2449 x -3071-2573 x -2923


How do I find the factor combinations of the number 7,520,879?

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 7,520,879, 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 7,520,879
-1 -7,520,879

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 7,520,879.

Example:
1 x 7,520,879 = 7,520,879
and
-1 x -7,520,879 = 7,520,879
Notice both answers equal 7,520,879

With that explanation out of the way, let's continue. Next, we take the number 7,520,879 and divide it by 2:

7,520,879 ÷ 2 = 3,760,439.5

If the quotient is a whole number, then 2 and 3,760,439.5 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 7,520,879
-1 -7,520,879

Now, we try dividing 7,520,879 by 3:

7,520,879 ÷ 3 = 2,506,959.6667

If the quotient is a whole number, then 3 and 2,506,959.6667 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 7,520,879
-1 -7,520,879

Let's try dividing by 4:

7,520,879 ÷ 4 = 1,880,219.75

If the quotient is a whole number, then 4 and 1,880,219.75 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 7,520,879
-1 7,520,879
Keep dividing by the next highest number until you cannot divide anymore.

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

1313779831,1472,4492,5732,9233,0716,55790,61395,201203,267242,6097,520,879
-1-31-37-79-83-1,147-2,449-2,573-2,923-3,071-6,557-90,613-95,201-203,267-242,609-7,520,879

More Examples

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