Q: What are the factor combinations of the number 38,500,631?

 A:
Positive:   1 x 3850063113 x 296158717 x 226474319 x 202634953 x 726427173 x 222547221 x 174211247 x 155873323 x 119197689 x 55879901 x 427311007 x 382332249 x 171192941 x 130913287 x 117134199 x 9169
Negative: -1 x -38500631-13 x -2961587-17 x -2264743-19 x -2026349-53 x -726427-173 x -222547-221 x -174211-247 x -155873-323 x -119197-689 x -55879-901 x -42731-1007 x -38233-2249 x -17119-2941 x -13091-3287 x -11713-4199 x -9169


How do I find the factor combinations of the number 38,500,631?

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 38,500,631, 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 38,500,631
-1 -38,500,631

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 38,500,631.

Example:
1 x 38,500,631 = 38,500,631
and
-1 x -38,500,631 = 38,500,631
Notice both answers equal 38,500,631

With that explanation out of the way, let's continue. Next, we take the number 38,500,631 and divide it by 2:

38,500,631 ÷ 2 = 19,250,315.5

If the quotient is a whole number, then 2 and 19,250,315.5 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 38,500,631
-1 -38,500,631

Now, we try dividing 38,500,631 by 3:

38,500,631 ÷ 3 = 12,833,543.6667

If the quotient is a whole number, then 3 and 12,833,543.6667 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 38,500,631
-1 -38,500,631

Let's try dividing by 4:

38,500,631 ÷ 4 = 9,625,157.75

If the quotient is a whole number, then 4 and 9,625,157.75 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 38,500,631
-1 38,500,631
Keep dividing by the next highest number until you cannot divide anymore.

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

1131719531732212473236899011,0072,2492,9413,2874,1999,16911,71313,09117,11938,23342,73155,879119,197155,873174,211222,547726,4272,026,3492,264,7432,961,58738,500,631
-1-13-17-19-53-173-221-247-323-689-901-1,007-2,249-2,941-3,287-4,199-9,169-11,713-13,091-17,119-38,233-42,731-55,879-119,197-155,873-174,211-222,547-726,427-2,026,349-2,264,743-2,961,587-38,500,631

More Examples

Here are some more numbers to try:

38,500,62938,500,63038,500,63238,500,633
Try the factor calculator

Explore more about the number 38,500,631:


Ask a Question