Q: What are the factor combinations of the number 42,113,555?

 A:
Positive:   1 x 421135555 x 842271111 x 382850543 x 97938555 x 765701215 x 195877473 x 890352365 x 17807
Negative: -1 x -42113555-5 x -8422711-11 x -3828505-43 x -979385-55 x -765701-215 x -195877-473 x -89035-2365 x -17807


How do I find the factor combinations of the number 42,113,555?

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 42,113,555, 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 42,113,555
-1 -42,113,555

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 42,113,555.

Example:
1 x 42,113,555 = 42,113,555
and
-1 x -42,113,555 = 42,113,555
Notice both answers equal 42,113,555

With that explanation out of the way, let's continue. Next, we take the number 42,113,555 and divide it by 2:

42,113,555 ÷ 2 = 21,056,777.5

If the quotient is a whole number, then 2 and 21,056,777.5 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 42,113,555
-1 -42,113,555

Now, we try dividing 42,113,555 by 3:

42,113,555 ÷ 3 = 14,037,851.6667

If the quotient is a whole number, then 3 and 14,037,851.6667 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 42,113,555
-1 -42,113,555

Let's try dividing by 4:

42,113,555 ÷ 4 = 10,528,388.75

If the quotient is a whole number, then 4 and 10,528,388.75 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 42,113,555
-1 42,113,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151143552154732,36517,80789,035195,877765,701979,3853,828,5058,422,71142,113,555
-1-5-11-43-55-215-473-2,365-17,807-89,035-195,877-765,701-979,385-3,828,505-8,422,711-42,113,555

More Examples

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