Q: What are the factor combinations of the number 46,142,545?

 A:
Positive:   1 x 461425455 x 922850919 x 242855571 x 64989595 x 485711355 x 1299791349 x 342056745 x 6841
Negative: -1 x -46142545-5 x -9228509-19 x -2428555-71 x -649895-95 x -485711-355 x -129979-1349 x -34205-6745 x -6841


How do I find the factor combinations of the number 46,142,545?

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 46,142,545, 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 46,142,545
-1 -46,142,545

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 46,142,545.

Example:
1 x 46,142,545 = 46,142,545
and
-1 x -46,142,545 = 46,142,545
Notice both answers equal 46,142,545

With that explanation out of the way, let's continue. Next, we take the number 46,142,545 and divide it by 2:

46,142,545 ÷ 2 = 23,071,272.5

If the quotient is a whole number, then 2 and 23,071,272.5 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 46,142,545
-1 -46,142,545

Now, we try dividing 46,142,545 by 3:

46,142,545 ÷ 3 = 15,380,848.3333

If the quotient is a whole number, then 3 and 15,380,848.3333 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 46,142,545
-1 -46,142,545

Let's try dividing by 4:

46,142,545 ÷ 4 = 11,535,636.25

If the quotient is a whole number, then 4 and 11,535,636.25 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 46,142,545
-1 46,142,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151971953551,3496,7456,84134,205129,979485,711649,8952,428,5559,228,50946,142,545
-1-5-19-71-95-355-1,349-6,745-6,841-34,205-129,979-485,711-649,895-2,428,555-9,228,509-46,142,545

More Examples

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