Q: What are the prime factors of the number 55,636,200?

 A: 2, 3, 5, 10303

Why are those the prime factors of the number 55,636,200?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 55,636,200

55,636,200
Factor Arrows
227,818,100
Factor Arrows
213,909,050
Factor Arrows
26,954,525
Factor Arrows
32,318,175
Factor Arrows
3772,725
Factor Arrows
3257,575
Factor Arrows
551,515
Factor Arrows
510,303

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 5, 10303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 10,303 = 55,636,200

This can also be written as 23 x 33 x 52 x 10,3031 = 55,636,200

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 55,636,200:


Ask a Question