Q: What are the prime factors of the number 156,609,840?

 A: 2, 3, 5, 652541

Why are those the prime factors of the number 156,609,840?

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 156,609,840

156,609,840
Factor Arrows
278,304,920
Factor Arrows
239,152,460
Factor Arrows
219,576,230
Factor Arrows
29,788,115
Factor Arrows
33,262,705
Factor Arrows
5652,541

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, 652541

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 652,541 = 156,609,840

This can also be written as 24 x 31 x 51 x 652,5411 = 156,609,840

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


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