Q: What are the factor combinations of the number 46,430,449?

 A:
Positive:   1 x 4643044913 x 357157337 x 125487783 x 559403481 x 965291079 x 430311163 x 399233071 x 15119
Negative: -1 x -46430449-13 x -3571573-37 x -1254877-83 x -559403-481 x -96529-1079 x -43031-1163 x -39923-3071 x -15119


How do I find the factor combinations of the number 46,430,449?

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 46,430,449, 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 46,430,449
-1 -46,430,449

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 46,430,449.

Example:
1 x 46,430,449 = 46,430,449
and
-1 x -46,430,449 = 46,430,449
Notice both answers equal 46,430,449

With that explanation out of the way, let's continue. Next, we take the number 46,430,449 and divide it by 2:

46,430,449 ÷ 2 = 23,215,224.5

If the quotient is a whole number, then 2 and 23,215,224.5 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 46,430,449
-1 -46,430,449

Now, we try dividing 46,430,449 by 3:

46,430,449 ÷ 3 = 15,476,816.3333

If the quotient is a whole number, then 3 and 15,476,816.3333 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 46,430,449
-1 -46,430,449

Let's try dividing by 4:

46,430,449 ÷ 4 = 11,607,612.25

If the quotient is a whole number, then 4 and 11,607,612.25 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 46,430,449
-1 46,430,449
Keep dividing by the next highest number until you cannot divide anymore.

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

11337834811,0791,1633,07115,11939,92343,03196,529559,4031,254,8773,571,57346,430,449
-1-13-37-83-481-1,079-1,163-3,071-15,119-39,923-43,031-96,529-559,403-1,254,877-3,571,573-46,430,449

More Examples

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