Q: What are the factor combinations of the number 5,470,345?

 A:
Positive:   1 x 54703455 x 109406917 x 32178585 x 64357139 x 39355463 x 11815695 x 78712315 x 2363
Negative: -1 x -5470345-5 x -1094069-17 x -321785-85 x -64357-139 x -39355-463 x -11815-695 x -7871-2315 x -2363


How do I find the factor combinations of the number 5,470,345?

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 5,470,345, 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 5,470,345
-1 -5,470,345

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 5,470,345.

Example:
1 x 5,470,345 = 5,470,345
and
-1 x -5,470,345 = 5,470,345
Notice both answers equal 5,470,345

With that explanation out of the way, let's continue. Next, we take the number 5,470,345 and divide it by 2:

5,470,345 ÷ 2 = 2,735,172.5

If the quotient is a whole number, then 2 and 2,735,172.5 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 5,470,345
-1 -5,470,345

Now, we try dividing 5,470,345 by 3:

5,470,345 ÷ 3 = 1,823,448.3333

If the quotient is a whole number, then 3 and 1,823,448.3333 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 5,470,345
-1 -5,470,345

Let's try dividing by 4:

5,470,345 ÷ 4 = 1,367,586.25

If the quotient is a whole number, then 4 and 1,367,586.25 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 5,470,345
-1 5,470,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851394636952,3152,3637,87111,81539,35564,357321,7851,094,0695,470,345
-1-5-17-85-139-463-695-2,315-2,363-7,871-11,815-39,355-64,357-321,785-1,094,069-5,470,345

More Examples

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