Q: What are the factor combinations of the number 8,762,429?

 A:
Positive:   1 x 876242913 x 67403317 x 51543731 x 282659221 x 39649403 x 21743527 x 166271279 x 6851
Negative: -1 x -8762429-13 x -674033-17 x -515437-31 x -282659-221 x -39649-403 x -21743-527 x -16627-1279 x -6851


How do I find the factor combinations of the number 8,762,429?

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 8,762,429, 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 8,762,429
-1 -8,762,429

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 8,762,429.

Example:
1 x 8,762,429 = 8,762,429
and
-1 x -8,762,429 = 8,762,429
Notice both answers equal 8,762,429

With that explanation out of the way, let's continue. Next, we take the number 8,762,429 and divide it by 2:

8,762,429 ÷ 2 = 4,381,214.5

If the quotient is a whole number, then 2 and 4,381,214.5 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 8,762,429
-1 -8,762,429

Now, we try dividing 8,762,429 by 3:

8,762,429 ÷ 3 = 2,920,809.6667

If the quotient is a whole number, then 3 and 2,920,809.6667 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 8,762,429
-1 -8,762,429

Let's try dividing by 4:

8,762,429 ÷ 4 = 2,190,607.25

If the quotient is a whole number, then 4 and 2,190,607.25 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 8,762,429
-1 8,762,429
Keep dividing by the next highest number until you cannot divide anymore.

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

11317312214035271,2796,85116,62721,74339,649282,659515,437674,0338,762,429
-1-13-17-31-221-403-527-1,279-6,851-16,627-21,743-39,649-282,659-515,437-674,033-8,762,429

More Examples

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