Q: What are the factor combinations of the number 104,500,045?

 A:
Positive:   1 x 1045000455 x 2090000913 x 803846565 x 1607693127 x 822835635 x 1645671651 x 632958255 x 12659
Negative: -1 x -104500045-5 x -20900009-13 x -8038465-65 x -1607693-127 x -822835-635 x -164567-1651 x -63295-8255 x -12659


How do I find the factor combinations of the number 104,500,045?

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 104,500,045, 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.

1 104,500,045
-1 -104,500,045

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 104,500,045.

Example:
1 x 104,500,045 = 104,500,045
and
-1 x -104,500,045 = 104,500,045
Notice both answers equal 104,500,045

With that explanation out of the way, let's continue. Next, we take the number 104,500,045 and divide it by 2:

104,500,045 ÷ 2 = 52,250,022.5

If the quotient is a whole number, then 2 and 52,250,022.5 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:

1 104,500,045
-1 -104,500,045

Now, we try dividing 104,500,045 by 3:

104,500,045 ÷ 3 = 34,833,348.3333

If the quotient is a whole number, then 3 and 34,833,348.3333 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:

1 104,500,045
-1 -104,500,045

Let's try dividing by 4:

104,500,045 ÷ 4 = 26,125,011.25

If the quotient is a whole number, then 4 and 26,125,011.25 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:

1 104,500,045
-1 104,500,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651276351,6518,25512,65963,295164,567822,8351,607,6938,038,46520,900,009104,500,045
-1-5-13-65-127-635-1,651-8,255-12,659-63,295-164,567-822,835-1,607,693-8,038,465-20,900,009-104,500,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 104,500,045:


Ask a Question