Q: What are the factor combinations of the number 42,053,675?

 A:
Positive:   1 x 420536755 x 841073525 x 168214779 x 532325107 x 393025199 x 211325395 x 106465535 x 78605995 x 422651975 x 212932675 x 157214975 x 8453
Negative: -1 x -42053675-5 x -8410735-25 x -1682147-79 x -532325-107 x -393025-199 x -211325-395 x -106465-535 x -78605-995 x -42265-1975 x -21293-2675 x -15721-4975 x -8453


How do I find the factor combinations of the number 42,053,675?

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 42,053,675, 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 42,053,675
-1 -42,053,675

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 42,053,675.

Example:
1 x 42,053,675 = 42,053,675
and
-1 x -42,053,675 = 42,053,675
Notice both answers equal 42,053,675

With that explanation out of the way, let's continue. Next, we take the number 42,053,675 and divide it by 2:

42,053,675 ÷ 2 = 21,026,837.5

If the quotient is a whole number, then 2 and 21,026,837.5 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 42,053,675
-1 -42,053,675

Now, we try dividing 42,053,675 by 3:

42,053,675 ÷ 3 = 14,017,891.6667

If the quotient is a whole number, then 3 and 14,017,891.6667 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 42,053,675
-1 -42,053,675

Let's try dividing by 4:

42,053,675 ÷ 4 = 10,513,418.75

If the quotient is a whole number, then 4 and 10,513,418.75 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 42,053,675
-1 42,053,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1525791071993955359951,9752,6754,9758,45315,72121,29342,26578,605106,465211,325393,025532,3251,682,1478,410,73542,053,675
-1-5-25-79-107-199-395-535-995-1,975-2,675-4,975-8,453-15,721-21,293-42,265-78,605-106,465-211,325-393,025-532,325-1,682,147-8,410,735-42,053,675

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,053,675:


Ask a Question