Q: What are the factor combinations of the number 43,020,445?

 A:
Positive:   1 x 430204455 x 860408913 x 330926565 x 661853101 x 425945505 x 851891313 x 327656553 x 6565
Negative: -1 x -43020445-5 x -8604089-13 x -3309265-65 x -661853-101 x -425945-505 x -85189-1313 x -32765-6553 x -6565


How do I find the factor combinations of the number 43,020,445?

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 43,020,445, 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 43,020,445
-1 -43,020,445

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 43,020,445.

Example:
1 x 43,020,445 = 43,020,445
and
-1 x -43,020,445 = 43,020,445
Notice both answers equal 43,020,445

With that explanation out of the way, let's continue. Next, we take the number 43,020,445 and divide it by 2:

43,020,445 ÷ 2 = 21,510,222.5

If the quotient is a whole number, then 2 and 21,510,222.5 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 43,020,445
-1 -43,020,445

Now, we try dividing 43,020,445 by 3:

43,020,445 ÷ 3 = 14,340,148.3333

If the quotient is a whole number, then 3 and 14,340,148.3333 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 43,020,445
-1 -43,020,445

Let's try dividing by 4:

43,020,445 ÷ 4 = 10,755,111.25

If the quotient is a whole number, then 4 and 10,755,111.25 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 43,020,445
-1 43,020,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651015051,3136,5536,56532,76585,189425,945661,8533,309,2658,604,08943,020,445
-1-5-13-65-101-505-1,313-6,553-6,565-32,765-85,189-425,945-661,853-3,309,265-8,604,089-43,020,445

More Examples

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