Q: What are the factor combinations of the number 7,045,429?

 A:
Positive:   1 x 704542917 x 41443723 x 30632337 x 190417391 x 18019487 x 14467629 x 11201851 x 8279
Negative: -1 x -7045429-17 x -414437-23 x -306323-37 x -190417-391 x -18019-487 x -14467-629 x -11201-851 x -8279


How do I find the factor combinations of the number 7,045,429?

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 7,045,429, 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 7,045,429
-1 -7,045,429

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 7,045,429.

Example:
1 x 7,045,429 = 7,045,429
and
-1 x -7,045,429 = 7,045,429
Notice both answers equal 7,045,429

With that explanation out of the way, let's continue. Next, we take the number 7,045,429 and divide it by 2:

7,045,429 ÷ 2 = 3,522,714.5

If the quotient is a whole number, then 2 and 3,522,714.5 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 7,045,429
-1 -7,045,429

Now, we try dividing 7,045,429 by 3:

7,045,429 ÷ 3 = 2,348,476.3333

If the quotient is a whole number, then 3 and 2,348,476.3333 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 7,045,429
-1 -7,045,429

Let's try dividing by 4:

7,045,429 ÷ 4 = 1,761,357.25

If the quotient is a whole number, then 4 and 1,761,357.25 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 7,045,429
-1 7,045,429
Keep dividing by the next highest number until you cannot divide anymore.

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

11723373914876298518,27911,20114,46718,019190,417306,323414,4377,045,429
-1-17-23-37-391-487-629-851-8,279-11,201-14,467-18,019-190,417-306,323-414,437-7,045,429

More Examples

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