Q: What are the factor combinations of the number 442,433,525?

 A:
Positive:   1 x 4424335255 x 8848670519 x 2328597525 x 1769734195 x 4657195139 x 3182975475 x 931439695 x 6365952641 x 1675253475 x 1273196701 x 6602513205 x 33505
Negative: -1 x -442433525-5 x -88486705-19 x -23285975-25 x -17697341-95 x -4657195-139 x -3182975-475 x -931439-695 x -636595-2641 x -167525-3475 x -127319-6701 x -66025-13205 x -33505


How do I find the factor combinations of the number 442,433,525?

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 442,433,525, 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.

1 442,433,525
-1 -442,433,525

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 442,433,525.

Example:
1 x 442,433,525 = 442,433,525
and
-1 x -442,433,525 = 442,433,525
Notice both answers equal 442,433,525

With that explanation out of the way, let's continue. Next, we take the number 442,433,525 and divide it by 2:

442,433,525 ÷ 2 = 221,216,762.5

If the quotient is a whole number, then 2 and 221,216,762.5 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:

1 442,433,525
-1 -442,433,525

Now, we try dividing 442,433,525 by 3:

442,433,525 ÷ 3 = 147,477,841.6667

If the quotient is a whole number, then 3 and 147,477,841.6667 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:

1 442,433,525
-1 -442,433,525

Let's try dividing by 4:

442,433,525 ÷ 4 = 110,608,381.25

If the quotient is a whole number, then 4 and 110,608,381.25 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:

1 442,433,525
-1 442,433,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951394756952,6413,4756,70113,20533,50566,025127,319167,525636,595931,4393,182,9754,657,19517,697,34123,285,97588,486,705442,433,525
-1-5-19-25-95-139-475-695-2,641-3,475-6,701-13,205-33,505-66,025-127,319-167,525-636,595-931,439-3,182,975-4,657,195-17,697,341-23,285,975-88,486,705-442,433,525

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 442,433,525:


Ask a Question