Q: What are the factor combinations of the number 42,474,041?

 A:
Positive:   1 x 4247404117 x 249847347 x 90370353 x 80139759 x 719899289 x 146969799 x 53159901 x 471411003 x 423472491 x 170512773 x 153173127 x 13583
Negative: -1 x -42474041-17 x -2498473-47 x -903703-53 x -801397-59 x -719899-289 x -146969-799 x -53159-901 x -47141-1003 x -42347-2491 x -17051-2773 x -15317-3127 x -13583


How do I find the factor combinations of the number 42,474,041?

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 42,474,041, 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 42,474,041
-1 -42,474,041

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 42,474,041.

Example:
1 x 42,474,041 = 42,474,041
and
-1 x -42,474,041 = 42,474,041
Notice both answers equal 42,474,041

With that explanation out of the way, let's continue. Next, we take the number 42,474,041 and divide it by 2:

42,474,041 ÷ 2 = 21,237,020.5

If the quotient is a whole number, then 2 and 21,237,020.5 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 42,474,041
-1 -42,474,041

Now, we try dividing 42,474,041 by 3:

42,474,041 ÷ 3 = 14,158,013.6667

If the quotient is a whole number, then 3 and 14,158,013.6667 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 42,474,041
-1 -42,474,041

Let's try dividing by 4:

42,474,041 ÷ 4 = 10,618,510.25

If the quotient is a whole number, then 4 and 10,618,510.25 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 42,474,041
-1 42,474,041
Keep dividing by the next highest number until you cannot divide anymore.

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

1174753592897999011,0032,4912,7733,12713,58315,31717,05142,34747,14153,159146,969719,899801,397903,7032,498,47342,474,041
-1-17-47-53-59-289-799-901-1,003-2,491-2,773-3,127-13,583-15,317-17,051-42,347-47,141-53,159-146,969-719,899-801,397-903,703-2,498,473-42,474,041

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