Q: What are the factor combinations of the number 38,757,631?

 A:
Positive:   1 x 3875763111 x 352342159 x 65690961 x 63537189 x 435479121 x 320311649 x 59719671 x 57761979 x 395893599 x 107695251 x 73815429 x 7139
Negative: -1 x -38757631-11 x -3523421-59 x -656909-61 x -635371-89 x -435479-121 x -320311-649 x -59719-671 x -57761-979 x -39589-3599 x -10769-5251 x -7381-5429 x -7139


How do I find the factor combinations of the number 38,757,631?

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 38,757,631, 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 38,757,631
-1 -38,757,631

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 38,757,631.

Example:
1 x 38,757,631 = 38,757,631
and
-1 x -38,757,631 = 38,757,631
Notice both answers equal 38,757,631

With that explanation out of the way, let's continue. Next, we take the number 38,757,631 and divide it by 2:

38,757,631 ÷ 2 = 19,378,815.5

If the quotient is a whole number, then 2 and 19,378,815.5 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 38,757,631
-1 -38,757,631

Now, we try dividing 38,757,631 by 3:

38,757,631 ÷ 3 = 12,919,210.3333

If the quotient is a whole number, then 3 and 12,919,210.3333 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 38,757,631
-1 -38,757,631

Let's try dividing by 4:

38,757,631 ÷ 4 = 9,689,407.75

If the quotient is a whole number, then 4 and 9,689,407.75 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 38,757,631
-1 38,757,631
Keep dividing by the next highest number until you cannot divide anymore.

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

1115961891216496719793,5995,2515,4297,1397,38110,76939,58957,76159,719320,311435,479635,371656,9093,523,42138,757,631
-1-11-59-61-89-121-649-671-979-3,599-5,251-5,429-7,139-7,381-10,769-39,589-57,761-59,719-320,311-435,479-635,371-656,909-3,523,421-38,757,631

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 38,757,631:


Ask a Question