Q: What are the factor combinations of the number 444,000,545?

 A:
Positive:   1 x 4440005455 x 88800109101 x 4396045263 x 1688215505 x 8792091315 x 3376433343 x 13281516715 x 26563
Negative: -1 x -444000545-5 x -88800109-101 x -4396045-263 x -1688215-505 x -879209-1315 x -337643-3343 x -132815-16715 x -26563


How do I find the factor combinations of the number 444,000,545?

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 444,000,545, 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.

1 444,000,545
-1 -444,000,545

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 444,000,545.

Example:
1 x 444,000,545 = 444,000,545
and
-1 x -444,000,545 = 444,000,545
Notice both answers equal 444,000,545

With that explanation out of the way, let's continue. Next, we take the number 444,000,545 and divide it by 2:

444,000,545 ÷ 2 = 222,000,272.5

If the quotient is a whole number, then 2 and 222,000,272.5 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:

1 444,000,545
-1 -444,000,545

Now, we try dividing 444,000,545 by 3:

444,000,545 ÷ 3 = 148,000,181.6667

If the quotient is a whole number, then 3 and 148,000,181.6667 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:

1 444,000,545
-1 -444,000,545

Let's try dividing by 4:

444,000,545 ÷ 4 = 111,000,136.25

If the quotient is a whole number, then 4 and 111,000,136.25 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:

1 444,000,545
-1 444,000,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151012635051,3153,34316,71526,563132,815337,643879,2091,688,2154,396,04588,800,109444,000,545
-1-5-101-263-505-1,315-3,343-16,715-26,563-132,815-337,643-879,209-1,688,215-4,396,045-88,800,109-444,000,545

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